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)
To find the rate of the graph, we can use the formula for slope:
slope = (change in y) / (change in x)
Using the given coordinates (0, 0) and (4, -6), we can calculate the change in y and change in x:
change in y = -6 - 0 = -6
change in x = 4 - 0 = 4
Now we can substitute these values into the formula for slope:
slope = -6 / 4 = -3/2
So, the rate of this graph is -3/2.