Question

What is the y coordinate of the y−intercept of the line that passes through the points
(−2, −2) and (2, 4)?

Answer 1

Use the slope formula
\[\frac{ y_{2}-y_{1} }{ x_{2}-x_{1} }\]

Answer 2

Oh do this again? Okay got it hahah

Answer 3

\[\frac{ 4-(-2) }{2-(-2) }\]

Answer 4

Yes . Get it ? :)

Answer 5

I do! thanks!

Answer 6

But wait that's the slope. You need the y intercept which is the b in y = mx +b

Answer 7

oh.

Answer 8

So we found the slope m . Now just plug in One of the two coordinates and the slope into y = mx + b and solve for b. Let me know if you need more help

Answer 9

I need more help forsure

Answer 10

Ok did you find the slope m?

Answer 11

finding it now.

Answer 12

Ok let me know what you get

Answer 13

I got 3/2?

Answer 14

Good job! Now we use the slope intercept formula y = mx + b

Answer 15

pick either (−2, −2) or (2, 4) to plug in for x and y

Answer 16

And you'll be able to solve for the y - intercept b

Answer 17

so -2=3/2(-2)+b? lo

Answer 18

Perfect! Now just solve for b and you have your answer!

Answer 19

how though?!

Answer 20

I just cant find an answer...

Answer 21

Just isolate the term b

Answer 22

b is the y intercept

Answer 23

Is -1=3/2(-2) it?

Answer 24

nope I'll draw it out for you. one sec

Answer 25

ok