find the slope of the graph

x y
2 5
5 23
8 41
11 59

1 answer

To find the slope of the graph, we can use the formula for slope:

Slope = (change in y) / (change in x)

Using the given points, we can calculate the change in y and change in x between each pair of points:

For the points (2, 5) and (5, 23):
Change in y = 23 - 5 = 18
Change in x = 5 - 2 = 3

For the points (5, 23) and (8, 41):
Change in y = 41 - 23 = 18
Change in x = 8 - 5 = 3

For the points (8, 41) and (11, 59):
Change in y = 59 - 41 = 18
Change in x = 11 - 8 = 3

The change in y and change in x are the same for all pairs of points.

Therefore, the slope of the graph is:

Slope = (18) / (3) = 6