Which point lies on the line described by the equation below?y + 8 = 4(x - 5)A.(-5, -8)B.(5, 0)C.(5, 8)D.(4, -8)E.(5, -8)F.(4, 5)

To find out which point lies on the line described by the equation, we need to substitute the x and y values of each point into the equation and see if the equation holds true.

The equation is y + 8 = 4(x - 5)

Let's start with option A.(-5, -8)

Substitute x = -5 and y = -8 into the equation:

-8 + 8 = 4(-5 - 5)

0 = 4(-10)

0 = -40

This is not true, so point A does not lie on the line.

Next, let's try option B.(5, 0)

Substitute x = 5 and y = 0 into the equation:

0 + 8 = 4(5 - 5)

8 = 4(0)

8 = 0

This is not true, so point B does not lie on the line.

Next, let's try option C.(5, 8)

Substitute x = 5 and y = 8 into the equation:

8 + 8 = 4(5 - 5)

16 = 4(0)

16 = 0

This is not true, so point C does not lie on the line.

Next, let's try option D.(4, -8)

Substitute x = 4 and y = -8 into the equation:

-8 + 8 = 4(4 - 5)

0 = 4(-1)

0 = -4

This is not true, so point D does not lie on the line.

Next, let's try option E.(5, -8)

Substitute x = 5 and y = -8 into the equation:

-8 + 8 = 4(5 - 5)

0 = 4(0)

0 = 0

This is true, so point E lies on the line.

Finally, let's try option F.(4, 5)

Substitute x = 4 and y = 5 into the equation:

5 + 8 = 4(4 - 5)

13 = 4(-1)

13 = -4

This is not true, so point F does not lie on the line.

So, the only point that lies on the line described by the equation y + 8 = 4(x - 5) is point E.(5, -8).