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Which point lies on the line described by the equation below?y + 3 = 2(x - 1)A.(2, 9)B.(-1, -6)C.(1, -4)D.(1, -3)E.(0, 0)F.(2, 1)

Question

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

y+3=2(x1) y + 3 = 2(x - 1)

A. (2, 9)
B. (-1, -6)
C. (1, -4)
D. (1, -3)
E. (0, 0)
F. (2, 1)

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Solution

To find out which point lies on the line described by the equation y + 3 = 2(x - 1), 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 point A (2, 9):

Substitute x = 2 and y = 9 into the equation:

9 + 3 = 2(2 - 1)

12 = 2

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

Next, let's try point B (-1, -6):

Substitute x = -1 and y = -6 into the equation:

-6 + 3 = 2(-1 - 1)

-3 = 2(-2)

-3 = -4

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

Next, let's try point C (1, -4):

Substitute x = 1 and y = -4 into the equation:

-4 + 3 = 2(1 - 1)

-1 = 2(0)

-1 = 0

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

Next, let's try point D (1, -3):

Substitute x = 1 and y = -3 into the equation:

-3 + 3 = 2(1 - 1)

0 = 2(0)

0 = 0

This is true, so point D does lie on the line.

We can stop here because we have found a point that lies on the line. Therefore, the answer is D (1, -3).

This problem has been solved

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