Algebra Examples

$y - 5 = \frac{4}{5} (x - (- 15))$

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 right side.

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Step 2.1.1

Simplify $\frac{4}{5} (x - (- 15))$ .

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Step 2.1.1.1

Multiply $- 1$ by $- 15$ .

$y - 5 = \frac{4}{5} (x + 15)$

Step 2.1.1.2

Apply the distributive property.

$y - 5 = \frac{4}{5} x + \frac{4}{5} \cdot 15$

Step 2.1.1.3

Combine $\frac{4}{5}$ and $x$ .

$y - 5 = \frac{4 x}{5} + \frac{4}{5} \cdot 15$

Step 2.1.1.4

Cancel the common factor of $5$ .

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Step 2.1.1.4.1

Factor $5$ out of $15$ .

$y - 5 = \frac{4 x}{5} + \frac{4}{5} \cdot (5 (3))$

Step 2.1.1.4.2

Cancel the common factor.

$y - 5 = \frac{4 x}{5} + \frac{4}{5} \cdot (5 \cdot 3)$

Step 2.1.1.4.3

Rewrite the expression.

$y - 5 = \frac{4 x}{5} + 4 \cdot 3$

Step 2.1.1.5

Multiply $4$ by $3$ .

$y - 5 = \frac{4 x}{5} + 12$

Step 2.2

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

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Step 2.2.1

Add $5$ to both sides of the equation.

$y = \frac{4 x}{5} + 12 + 5$

Step 2.2.2

Add $12$ and $5$ .

$y = \frac{4 x}{5} + 17$

Step 2.3

Reorder terms.

$y = \frac{4}{5} x + 17$