SOLUTION: The line y − 6 = 2(x + 4) passes through which one of the following points? (−4, −6) (4, −6) (−4, 6) (2, 6)

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Question 665041: The line y − 6 = 2(x + 4) passes through which one of the following points?

(−4, −6)
(4, −6)
(−4, 6)
(2, 6)

Answer by ReadingBoosters(3246)   (Show Source): You can put this solution on YOUR website!
Starting with y - 6 = 2(x + 4)
Arrange it to fit the linear equation format of y=mx+b
...
y - 6 = 2(x+4)
Distribute the 2
y - 6 = 2x + 8
Isolate y
y = 2x + 8 + 6
y = 2x + 14
...
Assign one of the coordinates to the equation and solve for the other.
..
y = 2(-4) + 14 = -8 + 14 = 6: (-4,6) This matches one of the options
y = 2(4) + 14 = 8 + 14 = 22 : (4,22) No match
y = 2(2) + 14 = 4 + 14 = 18 : (2,18) No match
....................
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