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Begin by graphing the data, can you think of two different ways to find the slope?
50, see solution.
We can use the given table of values to graph the data on a coordinate plane. Then we can find the slope of the line that connects the points.
One way to use a graph to find the slope of a line is to count the change in the x -coordinates and the change in the y-coordinates.
We can see that as the graph travels from left to right, the rise, or change in y, is 100. Similarly, the run, or change in x, is 2. slope=rise/run ⇔ m=100/2=50 We can confirm this answer by using the other ratio from the Slope Formula. slope = y_2 - y_1/x_2-x_1 We will use the given points to find for the slope.
Substitute ( 2,100) & ( 4,200)
Subtract terms
Calculate quotient
We obtained the same number as before. We can be sure the slope is 50. Now we can explain what the slope represents. A slope of 50 tells us that Adriano read 50 pages every hour.