find the equation of a line passing through (2,-3) and parallel to 3x-2y+5=0
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What is the equation of the line passing through (2, -3) and is parallel to the line 3x+y=5?
First, we find the slope of the given line 3x+y−5=0 by using slope formula i.e.
m=−a/b
Where a is the coefficient of x & b is the coefficient of y.
m=−3/1
m=−3
As,
Required line ∥ given line
m'=m
m'= −3
Where m’ is the slope of required line.
Here,
(x1,y1)=(2,−3)
m′=−3
BY USING SLOPE-POINT FORMULA:
y−y1=m′(x−x1)
y−(−3)=(−3)(x−2)
y+3=−3x+6
3x+y+3−6=0
3x+y−3=0 Ans.
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