Question

What is the slope-intercept form of this equation? Show all your work.
-8x + 2y = 14

Answer 1

y = 4x + 7

Explanation:

The slope-intercept form is y = mx + b

-8x + 2y = 14

Add 8x on both sides

2y = 8x + 14

Divided by 2 both sides

y = 4x + 7

So, the slope-intercept form of this equation is y = 4x + 7

Answer 2

The equation is:

⇨ y = 4x + 7

Work/explanation:

We should write
`-8x+2y=14` in slope intercept form, which is
`\boldsymbol{\pmb{y=mx+b}}`.

• m = slope
• b = y intercept

Let's rearrange the terms first:

`\boldsymbol{-8x+2y=14}`

`\boldsymbol{2y=14+8x}`

`\boldsymbol{2y=8x+14}`

Divide each side by 2.

`\boldsymbol{y=4x+7}`

Hence, the equation is y = 4x + 7.