Question

Write an equation of the line that passes through the given point and is (a) parallel and (b)

perpendicular to the given line

Answer 1

parallel line: y=-3x+14

perpendicular line: y=1/3x +2/3

Explanation:

For the parallel line, use the point-slope formula to find the equation of the parallel line (since the slope is the same as the given line and the point (4,2) is given. For the perpendicular line, use the opposite reciprocal of the slope of the given line and use the point-slope formula again. The point-slope formula is Y-Y1=m(X-X1)