Question

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

Answer 1

- 2x + y = 8

+2x. + 2x

y = 2x + 8

hope this helps :)

Answer 2

`\boxed {\tt y=2x+8}`

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:

`-2x+y=8`

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

`-2x+2x+y=8+2x`

`y=8+2x`

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

`y=2x+8`

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