Algebra Examples

$\frac{1}{2} (2 y + 10) = 7 x$

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

Simplify $\frac{1}{2} (2 y + 10)$ .

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Step 2.1.1.1

Apply the distributive property.

$\frac{1}{2} (2 y) + \frac{1}{2} \cdot 10 = 7 x$

Step 2.1.1.2

Cancel the common factor of $2$ .

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Step 2.1.1.2.1

Factor $2$ out of $2 y$ .

$\frac{1}{2} (2 (y)) + \frac{1}{2} \cdot 10 = 7 x$

Step 2.1.1.2.2

Cancel the common factor.

$\frac{1}{2} (2 y) + \frac{1}{2} \cdot 10 = 7 x$

Step 2.1.1.2.3

Rewrite the expression.

$y + \frac{1}{2} \cdot 10 = 7 x$

Step 2.1.1.3

Cancel the common factor of $2$ .

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Step 2.1.1.3.1

Factor $2$ out of $10$ .

$y + \frac{1}{2} \cdot (2 (5)) = 7 x$

Step 2.1.1.3.2

Cancel the common factor.

$y + \frac{1}{2} \cdot (2 \cdot 5) = 7 x$

Step 2.1.1.3.3

Rewrite the expression.

$y + 5 = 7 x$

Step 2.2

Subtract $5$ from both sides of the equation.

$y = 7 x - 5$