Question

Find the equations of the lines that pass through the point (4, 5) and are parallel to and perpendicular to the line with equation y + 7x = 5

Parallel: y =
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Perpendicular: y =

Answer 1

Parallel: y = -7x+33

Perpendicular: y = (⅐)x + 31/7

Explanation:

y+7x = 5

Slope of the line is -7.

Slope of any parallel to the line is also -7.

Slope of any perpendicular to the line is ⅐.