Question

What is the slope of a line that passes through the point (−2, 3) and is parallel to a line that passes through (3, 7) and (−2, −8)?

Answer 1

find slope x1 x2 y1 y2
(3, 7) (-2, -8)

\[m=\frac{ y2-y2 }{ x2-x1 }\]

Answer 2

parallel lines have the same slope....so this is the first step

Answer 3

-8-7/-2-3?

Answer 4

right....keep going

Answer 5

-15/-5

Answer 6

would it be 3/1?

Answer 7

perfect...and like I said parallel lines have the same slope, so now you know that the slope of your parallel line is 3/1 or 3

Answer 8

its not -3 right?

Answer 9

no it is 3, neg div neg is positive

now the other thing you need for your parallel line is a y intercept

instead of giving you that, the gave you a point. with that point we can find the y intercept

y = mx + b which is the y intercept

Answer 10

wait so 3 isnt the slope?

Answer 11

yes the slope, m = 3


x y
(-2, 3) y = mx + b

Answer 12

2=m(-2)+b?

Answer 13

close, remember we know the slope too

we are going to find the yintercept, the b, by substituting in what we do know

y = mx + b

3 = 3(-2) + b

Answer 14

now solve for b

Answer 15

oh um, 9=b

Answer 16

right, now just put your slope m = 3 and the y intercept b = 9
together for your equation

y = mx + b m = 3, b = 9

Answer 17

you good?