Algebra Examples

$\frac{2 y + 8 x}{2} = x + 4$

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

Cancel the common factor of $2 y + 8 x$ and $2$ .

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Step 2.1.1.1

Factor $2$ out of $2 y$ .

$\frac{2 (y) + 8 x}{2} = x + 4$

Step 2.1.1.2

Factor $2$ out of $8 x$ .

$\frac{2 (y) + 2 (4 x)}{2} = x + 4$

Step 2.1.1.3

Factor $2$ out of $2 (y) + 2 (4 x)$ .

$\frac{2 (y + 4 x)}{2} = x + 4$

Step 2.1.1.4

Cancel the common factors.

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Step 2.1.1.4.1

Factor $2$ out of $2$ .

$\frac{2 (y + 4 x)}{2 (1)} = x + 4$

Step 2.1.1.4.2

Cancel the common factor.

$\frac{2 (y + 4 x)}{2 \cdot 1} = x + 4$

Step 2.1.1.4.3

Rewrite the expression.

$\frac{y + 4 x}{1} = x + 4$

Step 2.1.1.4.4

Divide $y + 4 x$ by $1$ .

$y + 4 x = x + 4$

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 $4 x$ from both sides of the equation.

$y = x + 4 - 4 x$

Step 2.2.2

Subtract $4 x$ from $x$ .

$y = - 3 x + 4$