Question

Consider the line y=−4x+2.
Find the equation of the line that is perpendicular to this line and passes through the point , (−3,5).

Find the equation of the line that is parallel to this line and passes through the point , (−3, 5).
equation of perpendicular line:
equation of parallel line:

Answer 1

Answer and step by step esplanation:

The perpendicular line has the slope opposite and inverse, in our case $-4 \rightarrow +\frac14$

Line passing through the point will have then equation - using the point-slope form $y-y_0=m(x-x_0)$

$y-5=\frac14 (x-(-5))\\y-5=\frac14(x+5)$

The parallel line will have the same slope as the given line, in our case -4. Again with the point-slope equation:

$y-5=-4(x-(-5)\\y-5=-4(x+5)$