What is the equation of the line through the points (3, 2), (8, 5), (13, 8) and (18, 11)?

A. y= 5/3x- 1/3
B. y= 3/5x- 1/5
C. y= 5/3x+ 1/3
D. y= 3/5x+ 1/5

Answers

Answer 1

Answer:

Option D.) y = 3/5 + 1/5

Step-by-step explanation:

First, we find the Slope using the formula: m = y2 - y1/x2 - x1

You may choose any two points but I will use these two for no reason at all.)

Points: (3,2) and (8,5)

m = y2 - y1/x2 - x1

m = 5 - 2/8 - 3

m = 3/5

Now that we have the slope, we can now find the Slope Intercept Form by using the Slope Form Formula. (need at least one point and slope.)

Formula: y - y1 = m(x - x1)

Point: (3,2) (you may choose any point but I will choose this for no reason at all xD)

y - y1 = m(x - x1)

y - 2 = 3/5(x - 3)

y - 2 = 3/5x - 9/5

y - 2 = 3/5x - 9/5

y = 3/5x - 9/5 + 10/5 (2 can be is any fraction that consists of the numerator multiplied twice by the denominator, such as 2/1, 4/2, 8/4, etc.)

y = 3/5 + 1/5

Answer 2

The final equation of the line can be written as -

y = (3/5)x + 1/5

What is the general equation of a straight line?

The general equation of a straight line is given by -

y = mx + c

Given is a line that passes through the points (3, 2), (8, 5), (13, 8) and (18, 11).

The line passes through the points (3, 2) and (8, 5). Therefore, the slope of the line will be -

m = (5 - 2)/(8 - 3) = 3/5

Now, consider the line : y = mx + c. For a point (3, 2) -

2 = (3/5) x 3 + c

2 = 9/5 + c

c = 2 - 1.8

c = 0.2

c = 1/5

Therefore, the final equation of the line can be written as -

y = (3/5)x + 1/5

To solve more questions on straight line, visit the link below-

https://brainly.com/question/21627259

#SPJ5


Related Questions

a bakery sells 3642 pastries in 2010. The bakery sells 8422 pastries in 2015. write a linear model that represents the number y of pastries that thw bakery sells x after 2010.​

Answers

Answer:

Step-by-step explanation:

x is number of years after 2010

y is number of donuts

we are given

A bakery sells 7196 donuts in 2010

So, when x=0 , y=7196

Let's assume

The bakery sells 9236 donuts in 2015

now, we can find slope

we can plug values

now, we can use point slope form of line

we can plug values

Sarah is trying to run a certain number of miles by the end of the month. If Sarah is 80% of the way to achieving her goal and she has already run 40 miles, how many miles is she trying to run by the end of the month?

Answers

Answer: 50 miles

Step-by-step explanation:

Let the miles that she is trying to run by the end of the month be denoted by x.

Since she is 80% of the way to achieving her goal and she has already run 40 miles. This can be expressed as:

80% of x = 40

80/100 × x = 40

0.8x = 40

x = 40/0.8

x = 50

The miles that she is trying to run by the end of the month is 50 miles.

Solve the equation for the given variable.


9(5x+3)+2x−8=47x+28
pls hurry I need help ill give you brainlest

Answers

Answer:

No solution

Step-by-step explanation:

45x + 27 + 2x - 8 = 47x + 28

47x + 19 = 47x + 28

19 = 28

19 can never equal 28


A ride-sharing company claims that the cost of rides follows a Normal distribution with a mean of $10.52. After
paying for a ride from this company, a rider reports that his price is in the 85th percentile of all other riders' prices. If
this rider paid $15.93, what is the approximate standard deviation of this company's ride-sharing cost?

Answers

Answer:

$5.20

Step-by-step explanation:

According to the Z-Score chart, the 85th percentile has a z-score of 1.04 and if you put that in the z-score equation (15.93-10.52)/x=1.04. Solve for x and you get $5.20.

You and four friends are going to Magic Mountain. It cost $20 to park your car and you spend $445 total just to get into the park. Solve to find the price per ticket. Please remember this is money.

Answers

Answer:

$85

Step-by-step explanation:

445-20=425 425 ÷5= 85

Please help me asap help. The other two options are 6 2/8 and 6 1/4

Answers

Answer:

6 1/2

Step-by-step explanation:

To double the recipe we would need to multiply all the ingredients by 2. But since it is asking about the peaches, we only need to multiply 3 1/4 by 2. First we make the 3 1/4 to an improper fraction. (multiply denom. by the 3 then add the numerator. then keep the same denominator). The improper fraction of 3 1/4 would be 13/4. Now we can multiply by 2. That would give us 26/4 which reduces to 13/2. To change this back to a mixed number, we divide 13 by 2. That would give us 6 with a remainer of 1. So our answer is 6 1/2. Sorry if it's confusing hope it helps :)

Choose the best answer. What is the value of the expression x + (-y) when x = 1.2
and y = -10.72
-9.5
11.9
-11.9
9,5

Answers

Answer:

[tex]-9.5[/tex] is the best answer.

Step-by-step explanation:

Given the expression

[tex]x + (-y)[/tex]

putting x=1.2 and y=-10.72 in the expression

[tex]x\:+\:\left(-y\right)=1.2\:+\:\left(-10.72\right)[/tex]

                [tex]=-9.52[/tex]

Therefore, -9.5 is the best answer.

               

HOW DO I TRANSFORM THAT S INTO A ZERO!!!! PLS HELP!!!

You can add subtract divide or multiply.​

Answers

Answer:

try dividing it's best for the problem your doing and ik im not the best at math but i do a lot of problem like this during school and first find what number -n is and it won't be a positive number remember that, tbh i really hope this helped im not sure if it did im so sorry if it didn't.

Step-by-step explanation:


Can somebody help me please

Answers

Answer:

[tex]\frac{6}{22}[/tex]

Step-by-step explanation:

[tex]\frac{6}{11}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{6*1}{11*2}[/tex] = [tex]\frac{6}{22}[/tex]  

Need help asappppppp

Answers

Answer:

press control u on ur google forms quiz than scroll all the way down to the questions and the answer should be right next to them.

According to the WHO report, girls who are 2-years old have a mean head circumference of 47.18cm with a standard deviation of 1.40 cm. A two year old girl with Down's syndrome has a head circumference of 44.5 cm. Children with Down's syndrome typically have smaller heads, so this is not surprising. 1. Relative to the WHO data, what is this girls z-score? What does the z score tell us? 2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?

Answers

Answer:

1. z = -1.91429

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. 2.7792%

Step-by-step explanation:

1. Relative to the WHO data, what is this girls z-score?

z score formula is:

z = (x-μ)/σ, where

x is the raw score = 44.5 cm

μ is the population mean = 47.18cm

σ is the population standard deviation = 1.40cm

z = 44.5 - 47.18/1.40

z = -1.91429

What does the z score tell us?

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?

z score = -1.91429

Probability value from Z-Table:

P(z =-1.91429) = P(x<44.5) = 0.027792

Converting to percentage = 0.027792 × 100

= 2.7792%

In order to train for cross-state biking trip, Julie rides her bike 34.65 miles five times a week. How many total miles does she ride each week?

Answers

Answer:

173.25 miles

Step-by-step explanation:

do 34.65 x 5 to get the answer.

hope this helps!

Chuck-E-Cheese is open for 11 ½ hours during a day. The arcade keeps one employee in charge of games at a time. Each shift is 3 ¾ hours long. How many complete shifts are there each day?

Answers

Answer:

3 complete shifts

Step-by-step explanation:

Simple division!

11.5 / 3.75 =

3.066 --> 3

Consider Brainliest! Hope I helped!

3 shifts


use long division

hope this helps!
happy thanksgiving

(Quick I'm being timed)

Find the value of the variable using these steps.
0.4x + 3.9 = 5.78
1. Subtraction property of equality
2. Division property of equality

X = ____

Answers

Answer:

x = 4.7

Step-by-step explanation:

You will need to subtract 3.9 from 5.78, then divide by 0.4. The answer is 4.7 because you are left with x = 4.7.

Hope this helps you!

3.5 h+4.5)= 57 whats the value for h​

Answers

Answer:

♡ hi there, fairy ♡

- h is 15 because 57-4.5=52.5/3.5=15

have a great day.

✧・゚: *✧・゚:・゚✧*:・゚✧・゚: *✧・゚:・゚✧*:・゚✧

Step-by-step explanation:

Answer:

The answer is h=15

Step-by-step explanation:

3.5 h+4.5)= 57

Let's solve your equation step-by-step.

3.5h+4.5=57

Step 1: Subtract 4.5 from both sides.

3.5h+4.5−4.5=57−4.5

3.5h=52.5

Step 2: Divide both sides by 3.5.

3.5h/3.5=52.5/3.5

h=15

Answer: h=15

On a number line, 0.7 would be located. Choose all answers that make a true statement
A. to the right of 0.54
B. to the left of 0.8
C. between 1.6 and 1.8
D. to the right of 0.9
please help me

Answers

Answer:

A and B are correct

Answer: A, B


Explanation:

John took a 5 1/2 mile walk to his friend's house. He left at 11 a.M. And arrived at his friend's house at 12:45 p.m What was his average speed of walking in miles per hour?

Answers

5.5/1.75
speed = 3.14 mph

The fabric for a dress costs $180 for 9 yards.
What is the cost per yard?

Answers

Answer:

$20

Step-by-step explanation:

because it wants the cost per yard so you need to do the amount ($180) and divide by the yards (9) so you do 180 ÷ 9 = 20

So there for, you get $20

If this helpped and my explanation was good then please mark brainliest hope you have a good day!

Each day a machine makes 500000 staples and puts them into boxes.
The machine needs 165 staples to fill a box.
How many boxes will be filled with the 500,000 staples?

Answers

Answer:3031 boxes will be filled with staples

Step-by-step explanation:

Given that the machine makes 500000 in a day

So total staples = 500000

Staples in a box = 165

In order to find how many boxes the machine will make, the total number of staples has to be divided by the number of staples in a box.

So,

[tex]number\ of\ boxes = \frac{Total\ staples}{Staples\ in\ a\ box}\\= \frac{500000}{165}\\= 3030.30[/tex]

As no staples can be left out of box, we will round off the number to next number.

So,

3031 boxes will be filled with staples

Answer:

3031 boxes

Step-by-step explanation:

The perimeter of a rectangle is 208 inches. The ratio

of its length to its width is 5:3. What are the

dimensions of this rectangle?

A. 60 in by 44 in

B. 65 in by 39 in

C. 68 in by 36 in

D. 72 in by 32 in

Answers

Answer:

65 in and 39 in respectively

Step-by-step explanation:

Let r be the common ratio; when we multiply both L and R by this common ratio, we'll get the actual length and actual width of the rectangle,  Recalling that the formula for the perimeter of a rectangle is P = 2L + 2R, we get:

2(5r) + 2(3r) = 16r = 208 in

Then r = 208/16 = 13

Thus, the actual length is 5(13 in) and the actual width is 3(13 in.),

or 65 in and 39 in respectively.

As a check, calculate 65 in / 39 in; this comes out to 5:3, as required.

Then

Before 2017, smartphones by major manufacturers all had screens with a aspect ratio. In 2017, two major brands released phones with screens in an aspect ratio. However they still reported their screen size using the same diagonal length of the earlier phones, 5.8 inches. How did the change in aspect ratio affect the screen size, if at all?

Answers

Answer:

the question is missing the numbers, so I looked for a similar one and found that screens back in 2017 had a 16:9 ratio and since then it changed to 18.5:9 ratio

the area of the screen is b x a x 0.5

we can form triangles:

old aspect ratio (16:9):

a = 1.778b

h = √(a² + b²)

5.8 = √[(1.778b)² + b²]

5.8 = √(3.16b² + b²)

5.8² = 4.16b²

33.64 = 4.16b²

b² = 33.64 / 4.16 = 8.0865

b = √8.0865 = 2.8437

a = 2.8437 x 1.778 = 5.056

area = 2.8437 x 5.056 x 0.5 = 7.19 in²

new aspect ratio (18.5:9):

a = 2.0556b

h = √(a² + b²)

5.8 = √[(2.0556b)² + b²]

5.8 = √(4.2253b² + b²)

5.8² = 5.2253b²

33.64 = 5.2253b²

b² = 33.64 / 5.2253 = 6.4379

b = √6.4379 = 2.5373

a = 2.5373 x 2.0556 = 5.2157

area = 2.5373 x 5.2157 x 0.5 = 6.62 in²

the actual screen area decreased by 0.57 in² or 7.93%

Toya is training for a triathlon and wants to
bike and run on the same day. She has less
than 3 hours to spend on her workouts. What
inequality represents the time Toya has to
bike and run? What is the graph of the
solution set?

Answers

Answer:

123

Step-by-step explanation:

ponuts

What is the value of (23−19)×43−59?

Answers

Answer:

=113

Step-by-step explanation:

Hoped I helped...

Answer:

C - 35

Step-by-step explanation:

Answer.

Pls help me im really dumb right now but pls help me .p.s.its on career they didnt have a mode for career and pls dont do it for the points.

Answers

Answer:

A. National Labor Relations Act

Step-by-step explanation:

if 33 laptops cost 30,000, what proportion could be used to determine the cost of 11 laptops?

Answers

Answer:

30,00 divided by 33= 909.09 times 11=9,999.99  hope it helps you

Step-by-step explanation:

8. What is x

9. What is the measure of angle ABD

10. What is the measure of angle DBC

(PS the numbers by the = sign are not the answers and could someone please help)

Answers

Answer:

x=10

ABD= 101

DBC= 79

Step-by-step explanation:

hope that this helped and I ise go formative too btw

How much felt is used to make the flag?

Answers

Answer:

i can't see it

Step-by-step explanation:

it's blury.

Consider the equation 4x -5(2x +1) = ax + b If a= (-6) and b=0 how many solutions does this eqaution have

Answers

it has one solution. x=2/7. im pretty sure

based on the graph, what are the rate of change and the y intercept of the line.

O the rate of change is 1/2 and the y-intercept is 1

O the rate of change is one and the y-intercept is 1/2

O the rate of change is 1/2 and the y intercept is -2

O the rate of change is 2 and the y intercept is 1

Answers

Answer:

The rate of change is 1/2 and the y-intercept is 1

Step-by-step explanation:

You can calulate the rate of change by picking two points on the graph and using the slope formula

(y2-y1)/(x2-x1)

so in this example you can use the points (2,2) represeting (x1,y1) and (4,3) representing (x2,y2)

When you plug into the slope formula you get:

(3-2)/(4-2) = 1/2 which is the slope.

The y-intercept is where the line intersects the y=axis and can be  seen as the coordinate pair (0, #) where the # is the y intercept. From the graph you can see the y-intercept is 1, but you can aslo solve for the y-intercept using the slope-intercept equation:

y=mx+b

where b is the y-intercept and m is the slope.

so using a slope of 1/2 and a coordinate of (2,2) you get:

y-2=(1/2)(x-2)

y = (1/2x)-1+2

y = (1/2x) + 1

so now the equation is in slope-intecept form and you can see the slope is 1/2 and the y-intercept is 1

determine the true statements about trend lines in scatterplot. Check all that apply

Answers

Answer:

what

Step-by-step explanation:

theres no answers?

Answer:

(A) A trend line can be used to make predictions in real-world situations.

(B) A scatterplot that shows no correlation between the variables does not have a trend line.

(D) A regression line and trend line are equivalent terms.

Step-by-step explanation:

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