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