Answer:
Part a)

Part b) The coordinates of the point are

Explanation:
Part a) Find the equation representing the ladder
we have the ordered pairs
(0,4) and (2,0)
Find the slope

Find the equation of the line in slope intercept form

we have

substitute

Part b) A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder.
If the box is a square
the x-coordinate of the point where the box touches the ladder must be equal to the y-coordinate
x=y

substitute


therefore
The coordinates of the point are
