Question

Consider the line y=-4x+5 .

Find the equation of the line that is perpendicular to this line and passes through the point (-5,-6) .

Find the equation of the line that is parallel to this line and passes through the point (-5,-6) .

Answer 1

perpendicular slopes = inverse
parallel slopes = the same
Plug in the values to find b for the perpendicular line and do the same for the parallel line.

Answer 2

For the parallel line you would for example :
-6 = -5 (-4) + b
-6 = 20 + b
-26 = b
so,
y = mx + b
y = -4x - 26
for the coordinates ( -5,-6)

Answer 3

oops.... well the perpendicular line has a slope that is the negative reciprocal of the slope belonging to the given line... not the inverse...