Question

A right triangle is drawn on a coordinate plane. Its base is the line segment between
(2, 2)
and
(9, 2).
The hypotenuse is a line segment that begins at
(2, 2)
and has slope 1.25. Find the coordinates of the third point.

Answer 1

a slope of 1.25 means that y changes 1.25 as fast as x.

The base of the triangle is 7 units long, so the height is 7*1.25 = 8.75 units.

(2,2)+(7,8.75) = (9,10.75)