Algebra Examples

$y - - 11 = 4 (x - 5)$

Step 1

Replace all occurrences of $-$ $-$ with a single $+$ . Two consecutive minus signs have the same mathematical meaning as a single plus sign because $- 1 \cdot - 1 = 1$

$y + 11 = 4 (x - 5)$

Step 2

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 3

Rewrite in slope-intercept form.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Multiply $- 1$ by $- 11$ .

$y + 11 = 4 (x - 5)$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $4 (x - 5)$ .

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Step 3.2.1.1

Apply the distributive property.

$y + 11 = 4 x + 4 \cdot - 5$

Step 3.2.1.2

Multiply $4$ by $- 5$ .

$y + 11 = 4 x - 20$

Step 3.3

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

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Step 3.3.1

Subtract $11$ from both sides of the equation.

$y = 4 x - 20 - 11$

Step 3.3.2

Subtract $11$ from $- 20$ .

$y = 4 x - 31$