Please let me know if I figured this out correctly.

Question

Directions:Write an equation for the line that is perpendicular to the given line and that passes through the given point.
1) y=x-3; (4,6) Answer: y=-x-10

Thank you!

Answer 1

no, (4,6) does not satisfy your new equation.

The new equation has to be
y = -x + b, but (4,6) lies on it, so
6 = -4 + b
b = 10

new equation is

y = -x + 10

Answer 2

Thank you!