Question

Identify an equation in point-slope form for the line perpendicular to y = -1/3x - 6 that passes through (-1, 5).

A. y + 1 = 3(x - 5)
B. y + 5 = 1/3(x - 1)
C. y - 5 = -1/3(x + 1)
D. y - 5 =3(x + 1)

Answer 1

y-5=3(x+1)

apeks

Explanation:

Answer 2

Correct choice is D

Explanation:

The slope of the line
`y=-(1)/(3)x-6` is
`-(1)/(3).`

Perpendicular lines slopes satisfy the condtion:

`m_1\cdot m_2=-1,`

then the slope of the perpendicular line is
`3.`

The equation in point-slope form of the line that passes through the point (-1, 5) is

`y-5=3(x-(-1)),\\ \\y-5=3(x+1).`