Use the image to answer the question.

An illustration shows quadrant four of a coordinate plane where the x-axis ranges from 0 to 6 in increments of one and the y-axis ranges from 0 to negative 6 in increments of one. The line passes through coordinates left parenthesis 0 comma 0 right parenthesis and left parenthesis 4 comma negative 6 right parenthesis.

What is the rate of this graph

The rate of this graph can be determined by finding the change in y-values over the change in x-values.

Change in y = -6 - 0 = -6
Change in x = 4 - 0 = 4

Rate = Change in y / Change in x
Rate = -6 / 4
Rate = -3/2

Therefore, the rate of this graph is -3/2.