Finite Math Examples

$4 x + 8 y = 5 y - 2$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

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Step 2.1

Move all terms containing $y$ to the left side of the equation.

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Step 2.1.1

Subtract $5 y$ from both sides of the equation.

$4 x + 8 y - 5 y = - 2$

Step 2.1.2

Subtract $5 y$ from $8 y$ .

$4 x + 3 y = - 2$

Step 2.2

Subtract $4 x$ from both sides of the equation.

$3 y = - 2 - 4 x$

Step 2.3

Divide each term in $3 y = - 2 - 4 x$ by $3$ and simplify.

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Step 2.3.1

Divide each term in $3 y = - 2 - 4 x$ by $3$ .

$\frac{3 y}{3} = \frac{- 2}{3} + \frac{- 4 x}{3}$

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Cancel the common factor of $3$ .

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Step 2.3.2.1.1

Cancel the common factor.

$\frac{3 y}{3} = \frac{- 2}{3} + \frac{- 4 x}{3}$

Step 2.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 2}{3} + \frac{- 4 x}{3}$

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Simplify each term.

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Step 2.3.3.1.1

Move the negative in front of the fraction.

$y = - \frac{2}{3} + \frac{- 4 x}{3}$

Step 2.3.3.1.2

Move the negative in front of the fraction.

$y = - \frac{2}{3} - \frac{4 x}{3}$

Step 2.4

Write in $y = m x + b$ form.

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Step 2.4.1

Reorder $- \frac{2}{3}$ and $- \frac{4 x}{3}$ .

$y = - \frac{4 x}{3} - \frac{2}{3}$

Step 2.4.2

Reorder terms.

$y = - (\frac{4}{3} x) - \frac{2}{3}$

Step 2.4.3

Remove parentheses.

$y = - \frac{4}{3} x - \frac{2}{3}$