Question

Bernie wants to write equations in the form y=mx+b for the lines passing through point P that are parallel and perpendicular to line r. First he finds the slopes of these two lines. What could he do next to find the y-intercepts?

Answer 1

Step-by-step explanation: See answer below

Answer 2

Substitute the slope and the coordinates of point P in the equation of the line y=mx+b and then solve for b in each equation

Explanation:

we know that

The first step is calculate the slopes of these two lines. Remember that if two lines are parallel then the slopes are the same (m1=m2) and if two lines are perpendicular then the slopes is equal to m1*m2=-1

The second step is substitute the slope m2 and the coordinates of point P in the equation of the line in slope-intercept form y=mx+b and then solve for b in each equation