Question

A right triangle has vertices at (0,9), (4,9) and (4, 4). What is the equation of the line that includes the hypotenuse? y = ​

Answer 1

y = - 1.25x + 9

Explanation:

A(0,9) B(4,9) C(4,4)

AB² = (4-0)² + (9-9)² = 16

AC² = (4-0)² + (4-9)² = 41

BC² = (4-4)² + (4-9)² = 25

AC is hypotenuse with y interception of 9

slope = 5/4 = -1.25

equation: y = - 1.25x + 9