Question

Can somebody help me i dont know how to do this

Answer 1

The line y = -2 - 4x has slope -4.

Slopes of perpendicular lines have product -1, so the slope of a line perpendicular to a line with slope -4 will be 1/4.

Slopes of parallel lines are the same, so the slope of a line parallel to a line with slope -4 will be -4.

Answer 2

`(1)/(4)` and - 4

Explanation:

the equation of a line in slope- intercept form is

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

given

y = - 2 - 4x , or

y = - 4x - 2 ← in slope- intercept form

with slope m = - 4

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

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(-4)` =
`(1)/(4)`

slope of perpendicular line is
`(1)/(4)`

• Parallel lines have equal slopes , then

slope of parallel line is - 4