Trigonometry Examples

$4 x - 9 y + 1 = 0$

Step 1

Solve for $y$ .

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Step 1.1

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

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Step 1.1.1

Subtract $4 x$ from both sides of the equation.

$- 9 y + 1 = - 4 x$

Step 1.1.2

Subtract $1$ from both sides of the equation.

$- 9 y = - 4 x - 1$

Step 1.2

Divide each term in $- 9 y = - 4 x - 1$ by $- 9$ and simplify.

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Step 1.2.1

Divide each term in $- 9 y = - 4 x - 1$ by $- 9$ .

$\frac{- 9 y}{- 9} = \frac{- 4 x}{- 9} + \frac{- 1}{- 9}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $- 9$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{- 9 y}{- 9} = \frac{- 4 x}{- 9} + \frac{- 1}{- 9}$

Step 1.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 4 x}{- 9} + \frac{- 1}{- 9}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Simplify each term.

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Step 1.2.3.1.1

Dividing two negative values results in a positive value.

$y = \frac{4 x}{9} + \frac{- 1}{- 9}$

Step 1.2.3.1.2

Dividing two negative values results in a positive value.

$y = \frac{4 x}{9} + \frac{1}{9}$

Step 2

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.