Algebra Examples

$y = 3 (x - 4) + 6 x$

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

Simplify the right side.

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Step 2.1

Simplify $3 (x - 4) + 6 x$ .

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Step 2.1.1

Simplify each term.

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Step 2.1.1.1

Apply the distributive property.

$y = 3 x + 3 \cdot - 4 + 6 x$

Step 2.1.1.2

Multiply $3$ by $- 4$ .

$y = 3 x - 12 + 6 x$

Step 2.1.2

Add $3 x$ and $6 x$ .

$y = 9 x - 12$