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?(1 point)

The rate of this graph can be determined by calculating the slope of the line.

Given the coordinates (0, 0) and (4, -6), we can find the slope using the formula:

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

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

Slope = (-6) / 4 = -3/2

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