Algebra Examples

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

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

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

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Step 2.1

Add $\frac{1}{2}$ to both sides of the equation.

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

Step 2.2

Combine the numerators over the common denominator.

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

Step 2.3

Add $1$ and $1$ .

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

Step 2.4

Divide $2$ by $2$ .

$y = x + 1$