Question

Write an equation for a line parallel to 12+8x=-3y and passing through (3,-5)

Answer 1

Ready?

Answer 2

Yes:)

Answer 3

This is the same idea. You need a line parallel to a given line. Parallel lines have the same slope. So the first job is to find the slope of the given line.
To do that, you solve the equation for y.
First, switch sides.
-3y = ...

Answer 4

-3y=8x+12

Answer 5

Good. Second job, what is happening to y?

Answer 6

umm will be dividing -3y to 8x and 12??

Answer 7

Yes, you divide every term on both sides by -3 to undo the y being multiplied by -3.

Answer 8

That will end up being y=-8/3-4 ?

Answer 9

remember the x on the right side.