What is the equation of a line that is parallel to the line -3x+2y=10 and goes through the point (0,7)

Answer 1

What is the equation of a line that is parallel to the line -3x+2y=10 and goes through the point (0,7)

An equation in Standard Format [ Ax+By=C ) has slope (-A/B). the line (-3)x+2y=10 has slope (3/2).

Parallel lines have the same slope. The line we want looks like: (-3)x+2y = C, and we need (0,7) to find C.

(-3)(0) + 2(7) = C

14 = C

The line is: -3x+2y = 14

Answer 2

The equation of the line re-written is y=(3/2)x+5

A line parallel to this has slope 3/2.

The equation of the line through (0,7) with this slope is 3/2 = (y-7)/x.