Question

A line is perpendicular to y = x - 8

and intersects the point (2,2).
What is the equation of this
perpendicular line?

Answer 1

y = -x + 4

Explanation:

To find the slope of a perpendicular line, it is the negative reciprocal of the original function.

So, for this function, the negative reciprocal is -1

then, in order to find the function, you plug the numbers into the point-slope form
`y-y_1=m(x-x_1)`

`y-2=-1(x-2)\\y-2=-x+2\\y=-x+4`