Algebra Examples

$y = - 3 (x - 4) + 5 (2 x - 1)$

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

Simplify the right side.

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Step 2.1

Simplify $- 3 (x - 4) + 5 (2 x - 1)$ .

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Step 2.1.1

Simplify each term.

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Step 2.1.1.1

Apply the distributive property.

$y = - 3 x - 3 \cdot - 4 + 5 (2 x - 1)$

Step 2.1.1.2

Multiply $- 3$ by $- 4$ .

$y = - 3 x + 12 + 5 (2 x - 1)$

Step 2.1.1.3

Apply the distributive property.

$y = - 3 x + 12 + 5 (2 x) + 5 \cdot - 1$

Step 2.1.1.4

Multiply $2$ by $5$ .

$y = - 3 x + 12 + 10 x + 5 \cdot - 1$

Step 2.1.1.5

Multiply $5$ by $- 1$ .

$y = - 3 x + 12 + 10 x - 5$

Step 2.1.2

Simplify by adding terms.

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Step 2.1.2.1

Add $- 3 x$ and $10 x$ .

$y = 7 x + 12 - 5$

Step 2.1.2.2

Subtract $5$ from $12$ .

$y = 7 x + 7$