Question

Find an equation for the line perpendicular to y=-1/2x+4 and goes through the point (-1,10)

Answer 1

The slope of the perpendicular line will be 2. Remember, a perpendicular slope is the negative reciprocal.

So, we can make the equation $y=2x+b$. We need to find b, and put b in.

To find b, put in the numbers of y and x.

$10=2(-1)+b$

Solve for b:

$10=-2+b\\b=10+2\\b=12$

Now replace b in the original equation with 12 and that will be the answer:

The answer is $y=2x+12$.