HELP it is due tomorrow and I am super super stuck I have been doing this one for the last 2 days and did I make any progress? NO I GIVE UP

Step-by-step explanation:

First thing you need to do is Slope - intercept form of the line going through point A and B.

Slope-intercept form: y = mx + b (m = slope, b = y-intercept)

To get slope:

Lets set point A as point1 (x1, y1) and point B as point2(x2, y2).

x1 = -4

x2 = 8

y1 = 6

y2 = 3

If you plug these numbers in the slope equations:

=

m =

So a parallel line is a line that has a different b value but the same slope value.

To get b  for the parallel line : we need to substitute the x and y for a given point (0,-2).

which will make -2 = 0( ) + b

now we solve for b:

-2 = 0 +b

b = -2

So the whole Slope-intercept form of the parallel line is: y = x -2

c.

step-by-step explanation:

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)