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

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")

Therefore, if we are given a slope of $3$, we can assume that it means a change in $y$ of $3$ for every change in $x$ of $1$.

So, if we want to find another point on the line that $\left(2 , - 4\right)$ makes with a slope of $3$, then we can simply add $1$ to the $x$, and $3$ to the $y$:

$\left(2 , - 4\right)$

$\left(2 + 1 , - 4 + 3\right)$

$\left(3 , - 1\right)$

I hope that helps!