Don L. answered • 06/20/19

Fifteen years teaching and tutoring basic math skills and algebra

Hi Gloria, for a line to be parallel with another line, their slopes must be the same. Here, the slope is 4/3 (slope in standard for is -A/B.)

Using the point slope equation, you can find the parallel line.

y - y_{1} = m * (x - x_{1})

Substitute for y_{1}, 6, x_{1}, 12, and m, 4/3, gives:

y - 6 = 4/3 * (x + 12)

y - 6 = 4/3 * x + 16

y = 4/3 * x + 22, line that is parallel to the given line.

Questions?