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## 2. Write the following in the y=mx+ b form. Show all work. a) – 2x + y = 8

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2. Write the following in the y=mx+ b form. Show all work.

a) – 2x + y = 8

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Mathematics
1 year
2021-08-30T14:21:00+00:00
2021-08-30T14:21:00+00:00 2 Answers
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## Answers ( )

Answer:[tex]\boxed {\tt y=2x+8}[/tex]

Step-by-step explanation:If we want to find the equation in slope-intercept form, or y=mx+b (m is the slope and b is the y-intercept), we must isolate y on one side of the equation.

We are given the equation:

[tex]-2x+y=8[/tex]

-2x is being added to y. Since it is negative, we should add 2x to both sides of the equation.

[tex]-2x+2x+y=8+2x[/tex]

[tex]y=8+2x[/tex]

According to the Commutative Property of Addition, we can switch 8 and 2x so it is in the form y=mx+b.

[tex]y=2x+8[/tex]

The equation is

y=2x+8(the slope, m, is 2 and the y-intercept, b, is 8).Answer– 2x + y = 8

+2x. + 2x

y = 2x + 8

hope this helps 🙂