How do you find an equation of a line containing the point (-2, 2), and parallel to the line 2(y + 1) = x?

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Answer 1 · 2017-07-17T22:14:10

#y = 1/2x+3#

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 " "rarr y +1 = 1/2x#

Then: #y = 1/2x-1" "larr# 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 = 1/2x+1+2#

#y = 1/2x+3#