How do you find another point on each line using slope and point given m=3; passes through (-2,4)?

1 Answer
Sep 29, 2017

See below.

Explanation:

In order to solve this problem, we will consider the definition of slope. Slope is defined as:

"Slope"=("change in "y)/("change in "x) = ("rise")/("run")Slope=change in ychange in x=riserun

Therefore, if we are given a slope of 33, we can assume that it means a change in yy of 33 for every change in xx of 11.

So, if we want to find another point on the line that (2,-4)(2,4) makes with a slope of 33, then we can simply add 11 to the xx, and 33 to the yy:

(2,-4)(2,4)

(2 + 1, -4 + 3)(2+1,4+3)

(3, -1)(3,1)

I hope that helps!