Finite Math Examples

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

Step 1

Rewrite the equation as $- \frac{1}{2} x + 2 = y$ .

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

Step 2

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

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

Step 3

Subtract $2$ from both sides of the equation.

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

Step 4

Multiply both sides of the equation by $- 2$ .

$- 2 (- \frac{x}{2}) = - 2 (y - 2)$

Step 5

Simplify both sides of the equation.

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Step 5.1

Simplify the left side.

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Step 5.1.1

Simplify $- 2 (- \frac{x}{2})$ .

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Step 5.1.1.1

Cancel the common factor of $2$ .

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Step 5.1.1.1.1

Move the leading negative in $- \frac{x}{2}$ into the numerator.

$- 2 \frac{- x}{2} = - 2 (y - 2)$

Step 5.1.1.1.2

Factor $2$ out of $- 2$ .

$2 (- 1) \frac{- x}{2} = - 2 (y - 2)$

Step 5.1.1.1.3

Cancel the common factor.

$2 \cdot - 1 \frac{- x}{2} = - 2 (y - 2)$

Step 5.1.1.1.4

Rewrite the expression.

$- - x = - 2 (y - 2)$

Step 5.1.1.2

Multiply.

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Step 5.1.1.2.1

Multiply $- 1$ by $- 1$ .

$1 x = - 2 (y - 2)$

Step 5.1.1.2.2

Multiply $x$ by $1$ .

$x = - 2 (y - 2)$

Step 5.2

Simplify the right side.

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Step 5.2.1

Simplify $- 2 (y - 2)$ .

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Step 5.2.1.1

Apply the distributive property.

$x = - 2 y - 2 \cdot - 2$

Step 5.2.1.2

Multiply $- 2$ by $- 2$ .

$x = - 2 y + 4$