Algebra Examples

$y - 3 = \frac{1}{2} x + 1$

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 right side.

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Step 2.1.1

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

$y - 3 = \frac{x}{2} + 1$

Step 2.2

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

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Step 2.2.1

Add $3$ to both sides of the equation.

$y = \frac{x}{2} + 1 + 3$

Step 2.2.2

Add $1$ and $3$ .

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

Step 2.3

Reorder terms.

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