Question

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

Answer 1

Answer:

$y=4x+3$

Step-by-step 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),

$-2y=-6-8x\\\frac{-2y}{(-2)} =\frac{-(6+8x)}{-2}\\\\y=\frac{6}{2}+\frac{8x}{2}\\\\ y=3+4x$

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.

Answer 2

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