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)

1 answer

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.