Question

HELP. PERPENDICULAR LINES. Solve the problem with clear steps.

Answer 1

Original line: y=1/2x-9

Perpendicular lines have opposite slopes from the original lines. Since the original slope is 1/2, the perpendicular slope will be -2/1 or -2. The numbers switch places and switches from positive to negative.

New line: y=-2x+b

To solve for the y-intercept (b), plug the given coordinates (3,2) into the x and y spots in the equation:

2=-2(3)+b

Now, solve for b.

2=-6+b

Add 6 to both sides.

8=b

The y intercept is 8.

Now, your perpendicular line equation is:

y=-2x+8

I hope this helps :)