Precalculus Examples

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

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 right side.

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Step 2.1.1

Simplify $- 2 (x - 1)$ .

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Step 2.1.1.1

Apply the distributive property.

$y + 4 = - 2 x - 2 \cdot - 1$

Step 2.1.1.2

Multiply $- 2$ by $- 1$ .

$y + 4 = - 2 x + 2$

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 $4$ from both sides of the equation.

$y = - 2 x + 2 - 4$

Step 2.2.2

Subtract $4$ from $2$ .

$y = - 2 x - 2$