Triangle ABC has vertices A(5, 7), B(11, -1), and C(3, 3). Which of the following is the equation of the altitude to side AC?

Question

asked Mar 24, 2023 75.0k views

1 Answer

Seun Osewa · Answer 1 · 2023-03-30T09:34:27+0000

The slope of the side AC is
(3-7)/(3-5)=-2 , so the slope of the altitude is the negative reciprocal, 1/2.

Substituting into point-slope form,

$y+1=(1)/(2)(x-11)\\\\y+1=(1)/(2)x-(11)/(2)\\\\\boxed{y=(1)/(2)x-(13)/(2)}$