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Line j passes through points (-6,1) and (-3,6) .line m is parallel to line j and passes through point (15,-1). what is the equation of line m ?

Verified Answer :

Ckaranja

Slope of line j;
m=\(\frac{change in x}{change in y}\)
m=\(\frac{6-1}{-3--6}\)
m=\(\frac{5}{3}\)
Parallel lines have equal gradients;
So, 
y=mx+c
y=5/3x+c
Replacing for x and y;
-1=5/3(15)+c
-1=25+c
c=-26
y=\(\frac{5}{3} x-26\)

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