Algebra Examples

$y = m x + b$

Step 1

Rewrite the equation as $m x + b = y$ .

$m x + b = y$

Step 2

Subtract $b$ from both sides of the equation.

$m x = y - b$

Step 3

Divide each term in $m x = y - b$ by $x$ and simplify.

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Step 3.1

Divide each term in $m x = y - b$ by $x$ .

$\frac{m x}{x} = \frac{y}{x} + \frac{- b}{x}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $x$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{m x}{x} = \frac{y}{x} + \frac{- b}{x}$

Step 3.2.1.2

Divide $m$ by $1$ .

$m = \frac{y}{x} + \frac{- b}{x}$

$m = \frac{y}{x} + \frac{- b}{x}$

$m = \frac{y}{x} + \frac{- b}{x}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$m = \frac{y}{x} - \frac{b}{x}$

$m = \frac{y}{x} - \frac{b}{x}$

$m = \frac{y}{x} - \frac{b}{x}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$