What is the distance between point (3,2) and line y=1/4x-9

Question

asked Sep 12, 2021 95.3k views

1 Answer

Novice User · Answer 1 · 2021-09-16T15:03:32+0000

Answer:

9.94

Explanation:

y =
(1)/(4) x - 9

y - 2 = - 4(x - 3)

y = - 4x + 14

- 4x + 14 =
(1)/(4) x - 9

16x - 56 = - x + 36

17x = 92

x =
(92)/(17)

y = (-4)
(92)/(17) + 14 = -
(368)/(17) +
(238)/(17) = -
(130)/(17)

(3, 2) , (
(92)/(17) , -
(130)/(17) )

d ≈ 9.94396