Finite Math Examples

$5 (x - 5) = 4 y + 4$

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

Simplify the left side.

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Step 2.1.1

Simplify $5 (x - 5)$ .

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Step 2.1.1.1

Apply the distributive property.

$5 x + 5 \cdot - 5 = 4 y + 4$

Step 2.1.1.2

Multiply $5$ by $- 5$ .

$5 x - 25 = 4 y + 4$

Step 2.2

Rewrite the equation as $4 y + 4 = 5 x - 25$ .

$4 y + 4 = 5 x - 25$

Step 2.3

Move all terms not containing $y$ to the right side of the equation.

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Step 2.3.1

Subtract $4$ from both sides of the equation.

$4 y = 5 x - 25 - 4$

Step 2.3.2

Subtract $4$ from $- 25$ .

$4 y = 5 x - 29$

Step 2.4

Divide each term in $4 y = 5 x - 29$ by $4$ and simplify.

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Step 2.4.1

Divide each term in $4 y = 5 x - 29$ by $4$ .

$\frac{4 y}{4} = \frac{5 x}{4} + \frac{- 29}{4}$

Step 2.4.2

Simplify the left side.

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Step 2.4.2.1

Cancel the common factor of $4$ .

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Step 2.4.2.1.1

Cancel the common factor.

$\frac{4 y}{4} = \frac{5 x}{4} + \frac{- 29}{4}$

Step 2.4.2.1.2

Divide $y$ by $1$ .

$y = \frac{5 x}{4} + \frac{- 29}{4}$

Step 2.4.3

Simplify the right side.

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Step 2.4.3.1

Move the negative in front of the fraction.

$y = \frac{5 x}{4} - \frac{29}{4}$

Step 2.5

Reorder terms.

$y = \frac{5}{4} x - \frac{29}{4}$