Find an equation of a line containing the point (-2, 2), and parallel to the line 2(y + 1) = x

Alexander Lewis 2022-10-29 Answered
Find an equation of a line containing the point (-2, 2), and parallel to the line 2(y + 1) = x
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Answers (1)

encaselatqr
Answered 2022-10-30 Author has 11 answers
We are given a point on the line and have indirectly been given the slope as well, because lines that are parallel have the same slope.
Simplify the equation of the given line.
2 ( y + 1 ) = x y + 1 = 1 2 x
Then: y = 1 2 x - 1 this gives the slope as m = 1 2
Now use the point slope formula for a line:
y - y 1 = m ( x - x 1 ) with ( - 2 , 2 ) and m = 1 2
y - 2 = 1 2 ( x - ( - 2 ) )
y = 1 2 x + 1 + 2
y = 1 2 x + 3
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