I really need help with this one

Question

Find an equation of the line parallel to the line
y = −6
and passing through the midpoint of the segment joining
(−4, 4)
and
(−8, 2).

Answer 1

Hi Larry:

 

y = -6 is a horizontal line with slope m = 0

We want the equation of the line with slope 0 passing

through the midpoint of (−4, 4)  and  (−8, 2).

It will have a format of y = c where c is some number.

 

Midpoint:  ((x₂+x₁)/2, (y₂ + y₁)/2) = ((-8-4))/2 , (2+4)/2) = (-6, 3)

 

Since we have to have a horizontal line of form y = c

The equation you are looking for is y = 3

Answer 2

To begin with, yes. 

Determine the coordinates of the mid-point.

Determine the equal of the line parallel fo y = -6 that passes through that point.