Algebra Examples

$y + 3 = - 4 (x + 7)$

Step 1

Rewrite in slope-intercept form.

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Step 1.1

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 1.2

Simplify the right side.

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Step 1.2.1

Simplify $- 4 (x + 7)$ .

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Step 1.2.1.1

Apply the distributive property.

$y + 3 = - 4 x - 4 \cdot 7$

Step 1.2.1.2

Multiply $- 4$ by $7$ .

$y + 3 = - 4 x - 28$

Step 1.3

Move all terms not containing $y$ to the right side of the equation.

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Step 1.3.1

Subtract $3$ from both sides of the equation.

$y = - 4 x - 28 - 3$

Step 1.3.2

Subtract $3$ from $- 28$ .

$y = - 4 x - 31$

Step 2

Using the slope-intercept form, the slope is $- 4$ .

$m = - 4$

Step 3