Can you think of two different ways to find the slope, given a graph?
Description: Negative Slope: -3/5
Practice makes perfect
Observing the given graph, we can see that the line passes through the points (-3,1) and (2,-2), creating a negative slope. One way to use a graph to find the slope of a line is to count out the change in x and y.
We can see that as the graph travels from left to right, the rise, or change in y, is -3. Similarly, the run, or change in x, is 5.
slope=rise/run ⇔ m=-3/5=- 3/5
We can confirm this answer by using the Slope Formula.
m = y_2-y_1/x_2-x_1
In the above equation, (x_1,y_1) and (x_2,y_2) represent two points on the line. Let's substitute them by (- 3,1) and (2,- 2).
