Question

what is the slope of a line that passes through the point (-1, 1) and is parallel to a line that passes through (4, 6) and (-1,-4)?

Answer 1

The slope of parallel lines is the same.
So first find the equation of the line for (4,6) and (-1,-4)

(-10)/(-5)=2

So we plug in for the point (-1,1):
y-1=2(x+1)
=2x+3

Answer 2

so rise over run..wait is that the slope?

Answer 3

Oh sorry, ya I didnt label my slope.
slope is \[m=\frac{ y-y1 }{ x-x1 }\]

Answer 4

So that was what I was doing with (-10)/(-5), plug in the points.

Answer 5

right, so slope is -2/-1?

Answer 6

ya so its 2 it doesnt matter what order you plug in the points

Answer 7

Did it work?

Answer 8

the slope is 2 or -2? I think it's working!

Answer 9

@natalie135

Answer 10

The slope is 2 since (-2)/(-1) simplifies to just 2.

Answer 11

thank you so much for explaining! :)