Question

Find the closest point on the line.
y = - x -4 to (4,4)

Answer 1

y = x - 4

Explanation:

root (4,0)

domain XER

y intercept (0,-4)

Answer 2

(-2,-2)

Explanation:

The closet point on a line to any given point is the point where a perpendicular line intersects them both. The perpendicular line to y=-x-4 that intersects (4,4) is y=x. If you graph them both, you will find that they intersect at (-2,-2).