Question

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? NOOOOOOOOOO I GIVE UP

Answer 1

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:
`(y2 - y1)/(x2-x1)`

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:

`(3 - 6)/(8 - 4)` =
`(-3)/(4)`

m =
`(-3)/(4)`

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(
`(-3)/(4)` ) + b

now we solve for b:

-2 = 0 +b

b = -2

So the whole Slope-intercept form of the parallel line is: y =
`(-3)/(4)` x -2