Question

HELP ME!! Please shoe me steps too please

Answer 1

C

Explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 5 = - 3(x + 2) ← is in point- slope form

with slope m = - 3

Given a line with slope m then the slope of a line perpendicular to it is

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(-3)` =
`(1)/(3)`

and (a, b) = (6, - 1), hence

y - (- 1) =
`(1)/(3)`(x - 6), that is

y + 1 =
`(1)/(3)`(x - 6) → C