Algebra Examples

$\frac{1}{3} y = 2 x - 1$

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

Combine $\frac{1}{3}$ and $y$ .

$\frac{y}{3} = 2 x - 1$

Step 2.2

Multiply both sides of the equation by $3$ .

$3 \frac{y}{3} = 3 (2 x - 1)$

Step 2.3

Simplify both sides of the equation.

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Step 2.3.1

Simplify the left side.

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Step 2.3.1.1

Cancel the common factor of $3$ .

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Step 2.3.1.1.1

Cancel the common factor.

$3 \frac{y}{3} = 3 (2 x - 1)$

Step 2.3.1.1.2

Rewrite the expression.

$y = 3 (2 x - 1)$

Step 2.3.2

Simplify the right side.

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Step 2.3.2.1

Simplify $3 (2 x - 1)$ .

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Step 2.3.2.1.1

Apply the distributive property.

$y = 3 (2 x) + 3 \cdot - 1$

Step 2.3.2.1.2

Multiply.

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Step 2.3.2.1.2.1

Multiply $2$ by $3$ .

$y = 6 x + 3 \cdot - 1$

Step 2.3.2.1.2.2

Multiply $3$ by $- 1$ .

$y = 6 x - 3$