Algebra Examples

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

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

Combine $x$ and $\frac{1}{2}$ .

$- \frac{x}{2} + y = 10$

Step 2.2

Add $\frac{x}{2}$ to both sides of the equation.

$y = 10 + \frac{x}{2}$

Step 2.3

Write in $y = m x + b$ form.

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Step 2.3.1

Reorder $10$ and $\frac{x}{2}$ .

$y = \frac{x}{2} + 10$

Step 2.3.2

Reorder terms.

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