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Which point lies on the line described by the equation below?y + 4 = 4(x - 3)A.(-2, 3)B.(1, 11)C.(3, -4)D.(2, 9)E.(0, 0)F.(1, -11)

Question

Which point lies on the line described by the equation below?

y + 4 = 4(x - 3)

A. (-2, 3)
B. (1, 11)
C. (3, -4)
D. (2, 9)
E. (0, 0)
F. (1, -11)

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Solution

To find out which point lies on the line described by the equation y + 4 = 4(x - 3), we need to substitute the x and y coordinates of each point into the equation and see if the equation holds true.

Let's start with option A.(-2, 3)

Substitute x = -2 and y = 3 into the equation:

3 + 4 = 4(-2 - 3)

7 = -20, which is not true. So, point A does not lie on the line.

Next, let's try option B.(1, 11)

Substitute x = 1 and y = 11 into the equation:

11 + 4 = 4(1 - 3)

15 = -8, which is not true. So, point B does not lie on the line.

Next, let's try option C.(3, -4)

Substitute x = 3 and y = -4 into the equation:

-4 + 4 = 4(3 - 3)

0 = 0, which is true. So, point C does lie on the line.

We can stop here because we have found the point that lies on the line. So, the answer is C.(3, -4).

This problem has been solved

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