Given a graph, can you think of two different ways to find the slope.
-1/5
Practice makes perfect
Observing the given graph, we can see that the line passes through the points (-2,3) and (3,2). We can use a graph to find the slope of a line. Let's take a look at the change in x and y between the given points.
We can see that as the line falls from left to right. Therefore, the slope is negative. The rise, or change in y, is -1. Similarly, the run, or change in x, is 5. Now we are ready to find the slope m.
m=rise/run ⇔ m=-1/5=- 1/5
We can confirm this answer by using the formula.
m = y_2-y_1/x_2-x_1
We can use the given points to solve for the slope.
