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Nikitich [7]
3 years ago
10

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

Mathematics
2 answers:
pshichka [43]3 years ago
5 0

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.

vlabodo [156]3 years ago
3 0
Here is the work:
(13x - 5x) + 12 - 2y = 6
(8x) + 12 - 2y = 6
-2y = -8x - 12 + 6
-2y = -8x - 6
y = 4x + 3
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