Find the equation of the line parallel to the graph of 2x−3y=−1 that contains the point (−4,4).

Answer 1

The equation is given in Standard Format (Ax + By = C):: 2x - 3y = -1

If you convert that, once and forever, to slope-intercept form (y=mx+b), you will find that m = -A/B.

All parallel lines have the same slope.

The line you seek is 2x - 3y = C and we need (-4,4) to determine C.

2(-4) - 3(4) = C

-20 = C

The equation of the parallel line is: 2x - 3y = -20

Check:

Does 2(-4) -3(4) = -20 ?

-8 - 12 = -20 ?

-20 = -20 ?yes