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)
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).
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