Question

What is the slope of the line shown below?

Answer 1

The slope of the line below shown is -4

Answer 2

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 $\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$ with points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$.

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 $\frac{-10-10}{5-0}$.

-10 - 10 = -20 and 5 - 0 = 5, which gives you a fraction of $\frac{-20}{5}$, which can be simplified down to -4.