Precalculus Examples

$A x + B y + C = 0$

Step 1

Rewrite in slope-intercept form.

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Step 1.1

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 1.2

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

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Step 1.2.1

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

$B y + C = - A x$

Step 1.2.2

Subtract $C$ from both sides of the equation.

$B y = - A x - C$

Step 1.3

Divide each term in $B y = - A x - C$ by $B$ and simplify.

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Step 1.3.1

Divide each term in $B y = - A x - C$ by $B$ .

$\frac{B y}{B} = \frac{- A x}{B} + \frac{- C}{B}$

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Cancel the common factor of $B$ .

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Step 1.3.2.1.1

Cancel the common factor.

$\frac{B y}{B} = \frac{- A x}{B} + \frac{- C}{B}$

Step 1.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- A x}{B} + \frac{- C}{B}$

Step 1.3.3

Simplify the right side.

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Step 1.3.3.1

Simplify each term.

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Step 1.3.3.1.1

Move the negative in front of the fraction.

$y = - \frac{A x}{B} + \frac{- C}{B}$

Step 1.3.3.1.2

Move the negative in front of the fraction.

$y = - \frac{A x}{B} - \frac{C}{B}$

Step 1.4

Rewrite in slope-intercept form.

$y = - \frac{x}{B} A - \frac{C}{B}$

Step 2

The equation is not linear, so a constant slope does not exist.

Not Linear