Question

What is the rate of change for the line shown in the graph?

Answer 1

Based on the calculations, the rate of change for the line shown in the graph is equal to 10.

In Mathematics and Euclidean Geometry, the rate of change (slope) of any straight line can be determined by using this mathematical equation;

Rate of change (slope) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Rate of change (slope) = rise/run

Rate of change (slope) =
`(y_2-y_1)/(x_2-x_1)`

By substituting the given data points (0, 10) and (2, 30)into the formula for the rate of change (slope) of a line, we have the following;

Rate of change (slope) =
`(y_2-y_1)/(x_2-x_1)`

Rate of change (slope) = (30 - 10)/(2 - 0)

Rate of change (slope) = 20/2

Rate of change (slope) = 10.