Question

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 ?

Answer 1

Slope of line j;
m=
`(change in x)/(change in y)`
m=
`(6-1)/(-3--6)`
m=
`(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=
`(5)/(3) x-26`