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

2 Answers

2 votes

Answer:

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

User Ink
by
7.2k points
5 votes

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.

User Nilesh Tighare
by
8.5k points

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