Answer: -4
Step-by-step explanation:
If you are given a problem like this with two points, the easiest way to find the slope is using the equation [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex] with points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex].
In this problem, by looking at the graph, you can identify the points (0, 10) and (5, -10)
Let's label these numbers:
- x1 = 0
- x2 = 5
- y1 = 10
- y2 = -10
Now, plug these numbers into the formula above. That gives you [tex]\frac{-10-10}{5-0}[/tex].
-10 - 10 = -20 and 5 - 0 = 5, which gives you a fraction of [tex]\frac{-20}{5}[/tex], which can be simplified down to -4.
