Question

Kind of confused on this question, please help

Answer 1

4th option

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y =
`(3)/(5)` x - 6 ← is in slope- intercept form

with slope m =
`(3)/(5)`

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

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/((3)/(5) )` = -
`(5)/(3)`

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

Here m = -
`(5)/(3)` and (a, b ) = (- 2, 5 ) , then

y - 5 = -
`(5)/(3)` (x - (- 2) ) , that is

y - 5 = -
`(5)/(3)` (x + 2)