Question

What is the slope intercept form of (13x − 5x) + 12 − 2y = 6? SHOW YOUR WORK

Answer 1

Here is the work:
(13x - 5x) + 12 - 2y = 6
(8x) + 12 - 2y = 6
-2y = -8x - 12 + 6
-2y = -8x - 6
y = 4x + 3

Answer 2

`y=4x+3`

Explanation:

The slope intercept form of a line is
`y=mx+b` where
`m` is the slope of the line and
`b` is the y intercept.

We have the expression:
`(13x-5x)+12-2y=6`

In order to find the slope intercept form we have to clear
`y`.

Then,

`(13x-5x)+12-2y=6\\(8x)+12-2y=6`

We have to subtract 8x from both sides of the equation,

`8x+12-2y=6\\8x+12-2y-8x=6-8x\\12-2y=6-8x`

Now we have to subtract 12 from both sides,

`12-2y=6-8x\\12-2y-12=6-8x-12\\-2y=-6-8x`

Finally we have to divide both sides in (-2),

`-2y=-6-8x\\(-2y)/((-2)) =(-(6+8x))/(-2)\\\\y=(6)/(2)+(8x)/(2)\\\\ y=3+4x`

Then the slope intercept form of
`(13x-5x)+12-2y=6` is:

`y=4x+3`

Where m=4 is the slope and b=3 is the y-intercept.