Question

Which simplified equation below represents the equation of the line, y - y1 = m(x - x1), through the point (4,4) that is perpendicular to x - 3y = -18?

A: y = 2/3x + 8/3
B: y = -3x + 4
C: y = 1/3x + 4
D: y = -3x + 16
(I asked this already but some genius messed it up)

Answer 1

D

Explanation:

y-y1=m(x-x1) through (4,4)

x-3y= -18 is perpendicular : m1*m2=-1

y=mx+c

-3y=-18-x

3y= 18+x

y=x/3 + 6

y= 1/3x + 6

m1*m2= -1

m1= -1/m2

m1= -1/1/3

m1= -3

y- 4= -3(x - 4)

y-4= -3x +12

y= -3x +12+4

y= -3x + 16