Algebra Examples

$- 1 - \frac{1}{5} x + \frac{1}{5} y = 0$

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 each term.

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Step 2.1.1.1

Combine $x$ and $\frac{1}{5}$ .

$- 1 - \frac{x}{5} + \frac{1}{5} y = 0$

Step 2.1.1.2

Combine $\frac{1}{5}$ and $y$ .

$- 1 - \frac{x}{5} + \frac{y}{5} = 0$

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 $1$ to both sides of the equation.

$- \frac{x}{5} + \frac{y}{5} = 1$

Step 2.2.2

Add $\frac{x}{5}$ to both sides of the equation.

$\frac{y}{5} = 1 + \frac{x}{5}$

Step 2.3

Multiply both sides of the equation by $5$ .

$5 \frac{y}{5} = 5 (1 + \frac{x}{5})$

Step 2.4

Simplify both sides of the equation.

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Step 2.4.1

Simplify the left side.

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Step 2.4.1.1

Cancel the common factor of $5$ .

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Step 2.4.1.1.1

Cancel the common factor.

$5 \frac{y}{5} = 5 (1 + \frac{x}{5})$

Step 2.4.1.1.2

Rewrite the expression.

$y = 5 (1 + \frac{x}{5})$

Step 2.4.2

Simplify the right side.

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Step 2.4.2.1

Simplify $5 (1 + \frac{x}{5})$ .

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Step 2.4.2.1.1

Apply the distributive property.

$y = 5 \cdot 1 + 5 \frac{x}{5}$

Step 2.4.2.1.2

Multiply $5$ by $1$ .

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

Step 2.4.2.1.3

Cancel the common factor of $5$ .

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Step 2.4.2.1.3.1

Cancel the common factor.

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

Step 2.4.2.1.3.2

Rewrite the expression.

$y = 5 + x$

Step 2.5

Reorder $5$ and $x$ .

$y = x + 5$