Answer: The slope is -4.
Step-by-step explanation:
The slope of the graph can be found with the following formula, it finds the change in y over the change in x.
[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
We will substitute two coordinate points and then simplify to find our slope. Let us use the points (-2, 5) and (0, -3).
[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{-3-5}{0--2} =\frac{-8}{2}=-4[/tex]
We can also use the "rise over run" method. See attached. Starting at a point, count down four units (-4) and divide by counting one unit right (+1). -4 / 1 = -4
