Algebra Examples

$y + 2 = \frac{8}{5} (x + 5)$

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 $\frac{8}{5} (x + 5)$ .

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Step 2.1.1.1

Apply the distributive property.

$y + 2 = \frac{8}{5} x + \frac{8}{5} \cdot 5$

Step 2.1.1.2

Combine $\frac{8}{5}$ and $x$ .

$y + 2 = \frac{8 x}{5} + \frac{8}{5} \cdot 5$

Step 2.1.1.3

Cancel the common factor of $5$ .

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Step 2.1.1.3.1

Cancel the common factor.

$y + 2 = \frac{8 x}{5} + \frac{8}{5} \cdot 5$

Step 2.1.1.3.2

Rewrite the expression.

$y + 2 = \frac{8 x}{5} + 8$

Step 2.2

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

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Step 2.2.1

Subtract $2$ from both sides of the equation.

$y = \frac{8 x}{5} + 8 - 2$

Step 2.2.2

Subtract $2$ from $8$ .

$y = \frac{8 x}{5} + 6$

Step 2.3

Reorder terms.

$y = \frac{8}{5} x + 6$