Precalculus Examples

$2 x - y = 3$

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

Subtract $2 x$ from both sides of the equation.

$- y = 3 - 2 x$

Step 2.2

Divide each term in $- y = 3 - 2 x$ by $- 1$ and simplify.

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Step 2.2.1

Divide each term in $- y = 3 - 2 x$ by $- 1$ .

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

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Dividing two negative values results in a positive value.

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

Step 2.2.2.2

Divide $y$ by $1$ .

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

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Simplify each term.

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Step 2.2.3.1.1

Divide $3$ by $- 1$ .

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

Step 2.2.3.1.2

Move the negative one from the denominator of $\frac{- 2 x}{- 1}$ .

$y = - 3 - 1 \cdot (- 2 x)$

Step 2.2.3.1.3

Rewrite $- 1 \cdot (- 2 x)$ as $- (- 2 x)$ .

$y = - 3 - (- 2 x)$

Step 2.2.3.1.4

Multiply $- 2$ by $- 1$ .

$y = - 3 + 2 x$

Step 2.3

Reorder $- 3$ and $2 x$ .

$y = 2 x - 3$