Answer:
[tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
The slope of a line is always rise over run.
To find the slope of this line, we are looking for two points that are on an integer x value and an integer y value.
One of these points is (-4, 1). Another one is (0, -2).
Studying the y-values of both (the rise), the change in y is [tex]1 - (-2) = 1+2 = 3[/tex], and since we are going down, the change is [tex]-3[/tex].
Studying the x values of both (the run), we can see that the rate of change is [tex]|-4 + 0| = 4[/tex].
So the rise over run will be [tex]\frac{-3}{4}[/tex], or just [tex]-\frac{3}{4}[/tex]. This is also the slope as slope is rise over run.
Hope this helped!
