# A line that includes the points (-3, 1) and (-6, w) has a slope of 2. What is the value of w?

Dec 23, 2016

$w = - 5$

#### Explanation:

$1.$ You draw your graph

$2.$ Mark the graph for the point you are give $\left(- 3 , 1\right)$

$3.$ Slope is always rise over run. So when you are given $2$ for the slope, it means your rise ($y$) is $2$ and your run ($x$) is $1$. What it translates to on a graph is that let's say we start with the point $\left(- 3 , 1\right)$, from there we go up $2$ and right $1$. You keep repeating that process and you will get a bunch of points. connect the points and you will get a straight line. Keep in mind, you can also change the sign of the slope and go backward. What that means is that you can go DOWN $2$ and LEFT $1$.

$4.$ If you start at the point $\left(- 3 , 1\right)$ and go down $2$ and left $1$ and keep on doing that, eventually you will get to $- 6$ on the $x$-axis and if you check the number on the $y$-axis you will see that you are at $- 5$.

Hope it helped (c: