What is the equation of the line that goes through #(-7, 10# and is; parallel to #2x-3y=-3#?

1 Answer
Binayaka C.
Sep 20, 2016

The equation of the line is # 2x-3y = -44#

Explanation:

The slope of parallal lines are equal. Slope of line #2x-3y =-3 or 3y =2x+3 or y = 2/3 x+1# is #m=2/3#
Hence the equation of line passing through #(-7,10)# is #(y-y_1)=m(x-x_1) or y-10=2/3(x+7) or 3y-30 =2x+14 or 2x-3y = -44#[Ans]

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