Consider the point p = (4,-1) and the line l, given by the equation y=2x+3.
a. write an equation in slope-intercept of the line passing through p and parallel to line l.
b. write an equation in slope-intercept of the line passing through p and perpendicular to line l.

A. y=2x-9

B.

Step-by-step explanation:

A. Parallel lines have the same slope. That means the line y=2x+3 has the same slope as any line parallel to it. So the slope is 2.

Using m=2, substitute it and (4,-1) into the point slope form and simplify to find the y-intercept.

B. Perpendicular lines have slopes which are negative reciprocals of each other. The slope of the line y=2x+3 is 2. The slope perpendicular to it is -1/2.

Using m=-1/2, substitute it and (4,-1) into the point slope form and simplify to find the y-intercept.

1e+27

step-by-step explanation: