Observing the given graph, we can see that the line passes through the points (0,4) and (5,- 2). 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 - 6. Similarly, the run, or change in x, is 5.
slope=rise/run=- 6/5 ⇔ m=- 6/5
We can confirm this answer by using the other method, the Slope Formula.
m = y_2-y_1/x_2-x_1
We will use the given points to solve for the slope.
A slope of m=- 65 means that for every 5 steps in the positive horizontal direction, the graph travels 6 steps in the negative vertical direction. Our solution corresponds to answer C.
