Question

Which of the following points lies on the graph of this equation? y= 3/2x- 4 A. (-2, -2) B. (-2, -4) C. (2, -1) D. (2, 1)

thanks for the help

Answer 1

Points A. (-2, -2), B. (-2, -4), and D. (2, 1) lie on the graph of the equation y= 3/2x- 4.

Step-by-step explanation:

To determine which point lies on the graph of the equation y= 3/2x- 4, we can substitute the x and y coordinates of each point into the equation and see if the equation holds true. Let's check each point:

A. (-2, -2): Substitute x=-2 and y=-2 into the equation: -2 = (3/2)(-2) - 4. This equation is true, so point A lies on the graph.

B. (-2, -4): Substitute x=-2 and y=-4 into the equation: -4 = (3/2)(-2) - 4. This equation is also true, so point B lies on the graph.

C. (2, -1): Substitute x=2 and y=-1 into the equation: -1 = (3/2)(2) - 4. This equation is not true, so point C does not lie on the graph.

D. (2, 1): Substitute x=2 and y=1 into the equation: 1 = (3/2)(2) - 4. This equation is true, so point D lies on the graph.

Therefore, the points that lie on the graph of the equation are A. (-2, -2), B. (-2, -4), and D. (2, 1).