Precalculus Examples

$9 x + 5 y - 45 = 0$

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.

Tap for more steps...

Step 2.1

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

Tap for more steps...

Step 2.1.1

Subtract $9 x$ from both sides of the equation.

$5 y - 45 = - 9 x$

Step 2.1.2

Add $45$ to both sides of the equation.

$5 y = - 9 x + 45$

Step 2.2

Divide each term in $5 y = - 9 x + 45$ by $5$ and simplify.

Tap for more steps...

Step 2.2.1

Divide each term in $5 y = - 9 x + 45$ by $5$ .

$\frac{5 y}{5} = \frac{- 9 x}{5} + \frac{45}{5}$

Step 2.2.2

Simplify the left side.

Tap for more steps...

Step 2.2.2.1

Cancel the common factor of $5$ .

Tap for more steps...

Step 2.2.2.1.1

Cancel the common factor.

$\frac{5 y}{5} = \frac{- 9 x}{5} + \frac{45}{5}$

Step 2.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 9 x}{5} + \frac{45}{5}$

Step 2.2.3

Simplify the right side.

Tap for more steps...

Step 2.2.3.1

Simplify each term.

Tap for more steps...

Step 2.2.3.1.1

Move the negative in front of the fraction.

$y = - \frac{9 x}{5} + \frac{45}{5}$

Step 2.2.3.1.2

Divide $45$ by $5$ .

$y = - \frac{9 x}{5} + 9$

Step 2.3

Write in $y = m x + b$ form.

Tap for more steps...

Step 2.3.1

Reorder terms.

$y = - (\frac{9}{5} x) + 9$

Step 2.3.2

Remove parentheses.

$y = - \frac{9}{5} x + 9$