Write an equation of the line that passes through the points (-1,8) and (2,-4)

Answers

Answer 1

Answer:

y=mx+b

y=-4x +12 is your equation

m= yo

your slope

Step-by-step explanation:

Answer 2

Answer:

The equation of the line that passes through the points (-1,8) and (2,-4) is:

[tex]y=-4x+4[/tex]

Step-by-step explanation:

Given the points

(-1,8)(2,-4)

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-1,\:8\right),\:\left(x_2,\:y_2\right)=\left(2,\:-4\right)[/tex]

[tex]m=\frac{-4-8}{2-\left(-1\right)}[/tex]

[tex]m=-4[/tex]

As the point-slope form of the line equation is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope.

substituting the values m = -4 and the point (-1,8)

[tex]y-\(8\right=-4\left(x-\left(-1\right)\right)[/tex]

[tex]y-8 = -4(x+1)[/tex]

Add 8 to both sides

[tex]y-8+8=-4\left(x+1\right)+8[/tex]

[tex]y=-4x+4[/tex]

Therefore, the equation of the line that passes through the points (-1,8) and (2,-4) is:

[tex]y=-4x+4[/tex]

Related Questions

Plzz Due Now!!!

Part A: Jake rented a kayak at $26 for 3 hours. If he rents the same kayak for 5 hours, he has to pay a total rent of $42. Write an equation in the standard form to represent the total rent (y) that Jake has to pay for renting the kayak for x hours.

Part B: Write the equation obtained in Part A using function notation.

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.

Answers

By the way this anwser is not mine,I just want to help.The orginal anwser is here: https://brainly.com/question/8916711

We can write the information we know as ordered pairs.  The independent variable, or x, in this case would be the amount of time, and the dependent variable, or y, would be the amount of money.  This is because the amount of money charged changes depending on the amount of time.  This gives us the ordered pairs (3, 26) and (5, 42).  Using the formula for slope we have:

.  A slope of 8 tells us that the hourly rental is $8.  We can use this to back up and see what the rental fee is.  When renting the kayak for 3 hours, Jake paid 26.  We know that it costs $8 per hour; 8(3) = 24.  This leaves us 26-24=$2 for the rental fee.  The equation would then be

y = 8x + 2.

Writing this as a function would be f(x) = 8x + 2.

To graph this, we would label the x-axis as time (hours) and the y-axis as money (dollars).  We would go up to the y-intercept, 2, and plot our point.  (The y-intercept is 2 because in the form y=mx+b, b is the y-intercept; that's where our 2 is.)  From here, we know the slope is 8=8/1, so we would go up 8 and over 1 to the right to plot our next point.  Then we would draw our line between these two points.

Answer:

We can write the information we know as ordered pairs.  The independent variable, or x, in this case would be the amount of time, and the dependent variable, or y, would be the amount of money.  This is because the amount of money charged changes depending on the amount of time.  This gives us the ordered pairs (3, 26) and (5, 42).  Using the formula for slope we have:.  A slope of 8 tells us that the hourly rental is $8.  We can use this to back up and see what the rental fee is.  When renting the kayak for 3 hours, Jake paid 26.  We know that it costs $8 per hour; 8(3) = 24.  This leaves us 26-24=$2 for the rental fee.  The equation would then bey = 8x + 2.Writing this as a function would be f(x) = 8x + 2.To graph this, we would label the x-axis as time (hours) and the y-axis as money (dollars).  We would go up to the y-intercept, 2, and plot our point.  (The y-intercept is 2 because in the form y=mx+b, b is the y-intercept; that's where our 2 is.)  From here, we know the slope is 8=8/1, so we would go up 8 and over 1 to the right to plot our next point.  Then we would draw our line between these two points.

Step-by-step explanation:

What is the equation of a line that is parralel to y= -5x+6 and passes through the point (-4,-1)

Answers

Answer:

y = -5x-21

Step-by-step explanation:

Slope of parallel lines is the same.

To find b:

y = mx + b

Substitute the slope and the point given

-1 = -5(-4) + b

Solve for b

-1 = 20 + b

b = -21

A scale on a map shows that 1 inch: 8 miles. On the map, Kylie’s house is 2.5 inches from her grandma’s house. What is the actual distance between the two houses?
( Hint: Not D)
A. 10

B. 15

C. 20

D. 25

Answers

Answer:

C. 20

Step-by-step explanation:

If 1 inch is 8 miles, 2.5 = 20 miles because 8 x 2 = 16 and .5 = 4 so 16+4 = 20

Which of the following is true concerning hull fouling from commercial shipping and recreational boating?
a.
It constitutes less than half of all nonnative species introductions.
b.
The revenue brought in from these industries is relatively small.
c.
It is difficult to prevent since ship hulls begin, conduct, and end voyages in water.
d.
It is best combated by chemical treatments.

Answers

Answer: C. It is difficult to prevent since ship hulls begin, conduct, and end voyages in water.

Step-by-step explanation:

The option that is true concerning hull fouling from commercial shipping and recreational boating is; C: It is difficult to prevent since ship hulls begin, conduct, and end voyages in water.

What is Hull Fouling?

Hull fouling is a phenomenon that arises due to the accumulation of marine growth that leads to reduction in speed of the vessel, increase in the bunker consumption and also the accumulation of more cleaning costs.

Now, this marine growth such as water hyacinths and others are very hard to prevent because the ship lull is not something that can be brought to land before movement as it starts and ends it's journey inside the water.

Thus, the correct option is C.

Read more about Hull Fouling at; https://brainly.com/question/4557804

Need help ASAP PLEASEEEEE

Answers

Answer:( b )i think

Step-by-step explanation:

Alexia spent 3 minutes working on each of her math problems and 4 minutes on each of her science problems. Her homework took her more than 60 minutes to complete. The boundary line for the inequality 3x + 4y > 60 is shown. A graph shows number of math problems on the x-axis, from 0 to 20, and number of science problems on the y-axis, from 0 to 16. A dashed straight line has a negative slope and goes through (4, 12) and (12, 6). Which statement could be true in this situation? Alexia completed 8 math problems and 9 science problems. Alexia completed 4 math problems and 6 science problems. Alexia completed 20 math problems and 10 science problems. Alexia completed no math problems and 15 science problems.

Answers

Answer: Alexia completed 20 math problems and 10 science problems.

Answer:

C

Step-by-step explanation:

Write the equation, in general form, of a line with a slope of 1 and a y-intercept of -1.
a. x - y = 1
b. -x + y = -1
c. -x + y + 1 = 0
d. x - y - 1 = 0
pls help asap !!!

Answers

Answer:

Plug in numbers.

Step-by-step explanation:

using the equation of a line, y=mx+b, m is slope and b is the y-intercept. y and x are the coordinates. So graph the line first. It has a slope of one and the y-intercept is -1. Then plug in numbers for the equation. Make sure they are reasonable.

Lot 1 lies where two roads meet at a 79° angle. Lot 2 lies where two roads meet at a 65° angle. Lot 3 lies where two roads meet at a 36° angle. All lots have two sides measuring 20 feet as shown. A triangle is shown. At each of the points of the triangle, a line representing a fence is drawn to form a smaller triangle at each point. All other sides of the smaller triangles are 20 feet. Lot 1 lies where the angle is 79 degrees. Lot 2 lies where the angle is 65 degrees. Lot 3 lies where the angle is 36 degrees. A fence runs along the back wall of each property, as shown in the diagram. Which lot has the longest fence along the back wall? Which lot has the shortest fence along the back wall?

Answers

Answer: First is Lot 1

Second is Lot 3

Step-by-step explanation:

Answer:

First answer is Lot 1

Second Answer is Lot 3

Step-by-step explanation:

help a girl out!!! give brainliest!!

Answers

Answer:

-1 i believe because that is the only x intercept. i apologize if this is wrong

Step-by-step explanation:

Help please. Will Mark Brainliest!!

Answers

Answer

7/10

This should work

Answer:

7 / 1

Step-by-step explanation:

0.¯7 = 0.7777.....

10x = 7.7777.....

9x = 0.7777.....

(-) (-)

___________

1x = 7

x = 7 / 1

Simplified fraction = 7 / 1.

I need help with solving this problem please!!!

Answers

3 is 23 degree
8 is 157 degree

Answer:

Angle 3 = 23 degrees  Angle 8 = 157 degrees

Step-by-step explanation:

Since Angle 2 and Angle 3 are vertical angles, they have the same value.

As you see for Angle 8, Angle 8 is vertical angles with Angle 5.

Angle 5 corresponds with Angle 1 which is the same value since these lines are parallel.

Angle 1 and Angle 2 added together will have a sum of 180.

So substitute Angle 5 for Angle 1.

Angle 5 + 23 =180

Angle 5 = 157 degrees

And we know Angle 5  = Angle 8

So Angle 8 = 157 degrees.

let the function be f defined by f (x) = 12 - 5x
(a) is it true that f (0) = 0 ? explain why or why not.
(b) evaluate f (-1)
(c) what value of a will make the equation f (a) = 6 true?

Answers

Answer

a)no

Step-by-step explanation:

a)12-5(0)

=12 not 0

b)12-5(-1)

=17

c)12-5x=6

-5x=6-12

x=1.2

hope it helps:)

Evaluating the function, it is found that:

a) No, since [tex]f(0) = 12[/tex], as when we replace x by 0, the value of y is 12.

b) [tex]f(-1) = 17[/tex]

c) [tex]a = \frac{6}{5}[/tex]

The function given is:

[tex]f(x) = 12 - 5x[/tex]

Item a:

f(0) is given by:

[tex]f(0) = 12 - 5(0) = 12[/tex]

So it is not true, since [tex]f(0) = 12[/tex].

Item b:

[tex]f(-1) = 12 - 5(-1) = 12 + 5 = 17[/tex]

Item c:

This is the value of x when f(x) = 6, thus:

[tex]12 - 5x = 6[/tex]

[tex]5x = 6[/tex]

[tex]x = \frac{6}{5}[/tex]

Thus:

[tex]a = \frac{6}{5}[/tex]

A similar problem is given at https://brainly.com/question/24231879

Help me please itsmath

Answers

Answer:

I'ts B, (5,2)

Step-by-step explanation:

It's B :)

Answer:

A

Step-by-step explanation:

the equation is the second one

A store owner recorded the total number of customers that visited his store at the end of each hour that the store was open. He created the scatterplot, trend line, and equation below based on the data.

Store Customers
A graph has hours open on the x-axis, and total customers on the y-axis. A trend line has a regression equation of y = 25.36 x minus 0.23.

Assuming that the trend continues, which is the best estimate for the number of hours that the store will have been open when the total customer count is 310?
11
12
13
14

Answers

Answer:

12

Step-by-step explanation:

got 100% right on edge 2020, hope this helped! <3

Answer:

its 12

Step-by-step explanation:

bc it is

Which function is graphed on the coordinate plane below?

Answers

Answer:

I'm really good at graphing and math so anytime you need help tell me.

also there is no coordinate plane....

Step-by-step explanation:

Kathy Is 12 years old and Ben is 16 years old. How many years ago was Ben three times Older than Kathy?

Answers

10 years ago because 2 times 3 is 6

Setting up an equation to represent the scenario, we can conclude that Ben was 3 times older than Kathy 10 years ago.

Present age :

Kathy, k = 12

Ben, b = 16

Serting up the equation thus :

Let the number of years = x

16 - x = 3(12 - x)

16 - x = 36 - 3x

Collect like terms

-x + 3x = 36 - 16

2x = 20

x = 10

Hence, Ben was 3 tines older than Kathy 10 years ago.

Learn more : https://brainly.com/question/25625086

A fossilized fish is found that has jaws but no true bones. Where does this fossil belong on the cladogram?
A
B
C
D

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Which graph represents the equation 6x−5y=10 ? A image 1ab24067a1a445c6b2cc4633bfedfbb0 B image 28e91cd406af4c89bbd5cef1ec880a48 C image cfe6c7f17af74557ac6084f98e5bf5e0 D image 6fe8450f191547f885106542b28826f1

Answers

Answer:

i'm sorry

Step-by-step explanation:

what do you mean

There’s no link to click

Help me pls math Homework​

Answers

9514 1404 393

Answer:

See below. The "table below" refers to the second attachment.

Step-by-step explanation:

[tex]\boxed {\begin {array}{c|c|c}\underline {Binary} & \underline{Hex} & \underline{Decimal} \\ 0000 & 0 & 0 \\ 0001 & 1 & 2 \\ 0010 & 2 & 2 \\ 0011 & 3 & 3 \\ 0100 & 4 & 4 \\ 0101 & 5 & 5 \\ 0110 & 6 & 6 \\ 0111 & 7 & 7 \\ 1000 & 8 & 8 \\ 1001 & 9 & 9 \\ 1010 & A & 10 \\ 1011 & B & 11 \\ 1100 & C & 13 \\ 1101 & D & 14 \\ 1110 & E & 15 \\ 1111 & F & 16\end {array}}[/tex]

Find the rate of change for:
bicycling 3 mi in 15 min and 7 mi in 55 min

Answers

Rate of change = slope. (55-15)/(7-3) = answer

The rate of change is 10.

What is rate of change?

Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. The rate of change is equal to the change in y values divided by the change in the x-values.

For the given situation,

Bicycling involves  3 miles in 15 min and 7 miles in 55 min.

Here consider miles in x axis and minutes in y axis.

So, [tex](x1,y1) = (3,15)[/tex] and [tex](x2,y2)=(7,55)[/tex]

The rate of change is

⇒  [tex]\frac{y2-y1}{x2-x1}[/tex]

⇒ [tex]\frac{55-15}{7-3}[/tex]

⇒ [tex]\frac{40}{4}[/tex]

⇒ [tex]10[/tex]

Hence we can conclude that the rate of change is 10.

Learn more about rate of change here

https://brainly.com/question/1537800

#SPJ2

Help im diening please

Answers

Answer:

y = x + 3

Step-by-step explanation:

To know which of the equations represent the relationship between x and y, you need to substitute the x and y values into the equation. If when the equation is solved, the left-hand and right-hand side of the equation equal each other and hence the equation is true, then the equation must be correct in expressing the relationship between the x and y values. If not, then it is not correct.

As this question is only dealing with linear equations, we know that the gradient of the line is constant and hence the rate of change in x and y values is constant. Therefore, we can choose to substitute any of the given combinations of x and y values into the equation to obtain the correct equation. As it is easier to use smaller numbers for smaller calculations, we'll use the first combination of x = 1 and y = 4 .

Equation No. 1 : y = 3x + 1 where x = 1 , y = 4 and x = 2 , y = 5

( 4 ) = 3 ( 1 ) + 1

4 = 4

However, as this equation has a constant not equal to 1 in front of the x variable and hence a different gradient to the other equations, we will substitute the second combination of x and y values.

( 5 ) = 3 ( 2 ) + 1

5 = 6

Therefore, equation is false / incorrect.

Equation No. 2 : y = x + 1 where x = 1 , y = 4

( 4 ) = ( 1 ) + 1

4 = 2

Therefore, equation is false / incorrect.

Equation No. 3 : y = x + 3 where x = 1 , y = 4

( 4 ) = ( 1 ) + 3

4 = 4

Therefore, equation is true / correct.

Equation No. 4 : y = x - 3 where x = 1 , y = 4

( 4 ) = ( 1 ) - 3

4 = - 2

Therefore, equation is false / incorrect.

2) Find the perimeter of the following
polygon.
7 in.
10 in.
12 in.
15 in.

Answers

The permuter is 54 in.
Add up all the sides

Denise is 7 years Younger than our Misty is twice as old as Alma all together we have an age of 37 how old is Denise

Answers

Answer: 14

Step-by-step explanation: divide

I need a little bit of help right now.

Answers

The answer for this is 0.7

Rain is falling steadily in Seattle, Washington. After 6 hours, 4 inches of rain has fallen. How long will it take for 1 inch of rain to fall?

Answers

You do 6/4, so the answer should be: 1.5 hours!

plz help me show steps plz

Answers

Answer:

Step-by-step explanation:

4x - 9y = -9 x x - 3y = (5  + 9) - 6 - 9) + 9 - 5

WILL GIVE BRAINLIEST - 6TH GRADE MATHEMATICS

Angie is showing her work in simplifying −7.9 + 8.2 − 3.4 + 2.1. Identify any errors in her work or in her reasoning.


Step Work Reasoning
−7.9 + 8.2 − 3.4 + 2.1 Original problem
1 −7.9 + 8.2 + (−3.4) + 2.1 Additive inverse
2 −7.9 + (−3.4) + 8.2 + 2.1 Commutative property
3 [−7.9 + (−3.4)] + (8.2 + 2.1) Associative property
4 −11.3 + 10.3 Simplify
5 −1 Simplify
She did not make any errors.
Step 1: She wrote −3.4 incorrectly as + (−3.4).
Step 2: She identified changing the order of the numbers as the commutative property, which is incorrect.
Step 3: She identified changing the grouping of the numbers as the associative property, which is incorrect.

Answers

Answer:

Step 1 it says Additive inverse, that is not additive inverse. Additive inverse is the opposite of a number. There is no opposite number in the problem. And step 5 is the answer, it shouldn't be simplify. Hope that helps! :)

Answer:

step 1

Step-by-step explanation:

Help me or give me answer key plz I’m doing Desmos Quadratic Transformations – Part 1

Answers

They want to know the change in y. They have given the lines, soo count how many they went up or down.

Whatever you get, that the answer.

The y value of each point moved ___ units ____ and ____ as I moved the slider.

What is the decimal multiplier to increase by 58%?

Answers

The answer is 1.58 I think

What is 1+1 I really need this answer

Answers

Answer:

Its 11

Step-by-step explanation:

Jk its 2. Bro learn addition. XD

Answer:

the answer would be...

e^iπ = -1

2^57,885,161 - 1 is the largest known Mersenne prime number

2^43,112,609 - 1 is the second largest known Mersenne prime number

the greatest common divisor of any two integers which are coprime is 1 so

gcd(2^57,885,161 - 1, 2^43,112,609 - 1) =1

tan(π/4) = 1

So ((e^iπ/ gcd((2^57,885,161 - 1, 2^43,112,609 - 1))^2)

= (-1/1)^2 +1

= 1 + 1

^brainliest plz it took me awhile to type this XD^

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