Finite Math Examples

$y - (- 9) = - 6 (x - (- 7))$

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

Multiply $- 1$ by $- 9$ .

$y + 9 = - 6 (x - (- 7))$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $- 6 (x - (- 7))$ .

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Step 2.2.1.1

Multiply $- 1$ by $- 7$ .

$y + 9 = - 6 (x + 7)$

Step 2.2.1.2

Apply the distributive property.

$y + 9 = - 6 x - 6 \cdot 7$

Step 2.2.1.3

Multiply $- 6$ by $7$ .

$y + 9 = - 6 x - 42$

Step 2.3

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

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Step 2.3.1

Subtract $9$ from both sides of the equation.

$y = - 6 x - 42 - 9$

Step 2.3.2

Subtract $9$ from $- 42$ .

$y = - 6 x - 51$