Question

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

Answer 1

Answer

- 2x + y = 8

+2x. + 2x

y = 2x + 8

hope this helps :)

Answer 2

Answer:

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

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:

$-2x+y=8$

-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).