Write equations of the lines that pass through the point and are parallel and perpendicular to the given line. (−3, 4) x + 6y = 14

Answer 1

You may take the time to convert the Standard Format of a line (Ax+By=C) to slope-intercept form\, but remember that the slope,m, is (-A/B). The parallel line has the same slope (but a different C).

The slope of all parallel lines is the negative reciprocal, that is (-1/m) or B/A.

Line x + 6y = 14 has parallel line with point (-3,4).

-3 + 6(4) = C

21 = C

The parallel line is: x + 6y = 21

The perpendicular line is 6x - y = C

6(-3) - 4 = C

-22 = C

The perpendicular line is 6x - y = -22