Question

What is the equation of the line through (6, 3) and perpendicular to y=−34x+2?

Answer Choices:
A. y=−3/4x+152

B. y=4/3x+2

C. y=4/3x−5

D. y=−3/4x−5

Answer 1

y=1/34x+48/17

Explanation:

Perpendicular means negative reciprocal of the slope.

y-y1=m(x-x1)

y-3=1/34(x-6)

y-3=1/34x-6/34

y=1/34x-6/34+3

y=1/34x-6/34+102/34

y=1/34x+96/34

y=1/34x+48/17