Observing the given graph, we can see that the line passes through the points (0,2) and (3,6). One way to use a graph to find the slope or rate of change of a line is to count out the change in x and y.
When we move from left to right, the rise, or change in y, is 4. Similarly, the run, or change in x, is 3. We can find the slope of a line by calculating the quotient of the rise and the run.
slope=rise/run ⇔ m=4/3
The slope or rate of change of the line is 43.
Alternative Solution
We can find the rate of change by using the Slope Formula.
m = y_2-y_1/x_2-x_1
We will use the given points to solve for the slope.
