Question

Help with these two questions

Answer 1

@Shadow

Answer 2

intercept = ybar - slope*xbar
where ybar and xbar are the average of the y-values and x-values respectively

Answer 3

(1,1),(2,5),(3,10)

Slope: 4.5

Obtain the average of all x points

(1 + 2 + 3)/3
6/3
2

Obtain the average of all y points

(1 + 5 + 10)/(3)
16/3

Insert the average for x and the average for y into y = mx + b, for x and y respectively. Insert the slope as well. Solve for b ( the y intercept).

y = mx + b
16/3 = 4.5(2) + b
16/3 = 9 + b
16/3 = 27/3 + b
b = 16/3 - 27/3
b = -11/3

Answer 4

Here is a link in which you can view the points and the line graphed.

https://www.desmos.com/calculator/wer4qcfije

Answer 5

Try and see if you can solve for the second one. Just follow the steps that I showed you.

Answer 6

If you have any difficulty, let me know.

Answer 7

okay so for the slope of 1,8 and 2,7 I got -1

Answer 8

You do not need to solve for the slope. It is given.

Answer 9

For the second question, the slope is -1.5

Answer 10

Do you know where to start?

Answer 11

Yes do the average

Answer 12

I would do 1+2+3/3 right

Answer 13

Yes, to find the average for all x points. Be careful with the way you set that problem up though. if you were to copy and paste that into a computational engine, you could get 4.

This is because 3/3 is 1. That is why I used the parentheses, to indicate that I am dividing the sum of those terms, by three.

Answer 14

It is a good habit to develop, and shows a thorough understanding of PEMDAS.

Answer 15

(1+2+3)/(3) = 6/3 = 2

(8+7+5)/(3) = 20/3 = 6.6

Answer 16

Keep it in fraction form.

Answer 17

so just 20/3

Answer 18

Yes. Now what is our next step?

Answer 19

y=mx+b
20/3=-1.5(2)+b
20/3=-3+b
20/3=-9/3+b
b=20/3-(-9/3)

Answer 20

Don't know what you did in your last step, but you just have to add 9/3 to both sides.

Answer 21

y=mx+b
20/3=-1.5(2)+b
20/3=-3+b
20/3=-9/3+b

Answer 22

is this right so far?

Answer 23

Yes

Answer 24

b= 9 and 2/3

Answer 25

29/3??????

Answer 26

You had me scared for a little bit w/ b= 9 and 2/3.

But yes, it is 29/3. Let me get a graph for you real quick.

Answer 27

sure!

Answer 28

Lol didn't want to scare you :S

Answer 29

https://www.desmos.com/calculator/e4xaki1qnk

Answer 30

See how the points fall evenly on each side. We are pitch perfect with our y intercept. Good job.