Question

Find the distance between the point (6,7) and the line y = 6x + 7 (rounded to the nearest hundreth).

A) 2.42

B) 5.92

C) 5.84

D) 1.38

Answer 1

5.92.
B is the answer.

Answer 2

5.92

Explanation:

Line in standard form

-6x + y - 7 = 0

distance = |-6 * 6 + 1 * 7 - 7|/(
`√((-6^2)+ 1^2))`

|-36 +7 - 7| = √37

|-36|/√37

36/√37

5.918363 = 5.92