Pre-Algebra Examples

$3 x + 5 y - 2 = 0$

Step 1

Rewrite in slope-intercept form.

Tap for more steps...

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.

Tap for more steps...

Step 1.2.1

Subtract $3 x$ from both sides of the equation.

$5 y - 2 = - 3 x$

Step 1.2.2

Add $2$ to both sides of the equation.

$5 y = - 3 x + 2$

Step 1.3

Divide each term in $5 y = - 3 x + 2$ by $5$ and simplify.

Tap for more steps...

Step 1.3.1

Divide each term in $5 y = - 3 x + 2$ by $5$ .

$\frac{5 y}{5} = \frac{- 3 x}{5} + \frac{2}{5}$

Step 1.3.2

Simplify the left side.

Tap for more steps...

Step 1.3.2.1

Cancel the common factor of $5$ .

Tap for more steps...

Step 1.3.2.1.1

Cancel the common factor.

$\frac{5 y}{5} = \frac{- 3 x}{5} + \frac{2}{5}$

Step 1.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 3 x}{5} + \frac{2}{5}$

Step 1.3.3

Simplify the right side.

Tap for more steps...

Step 1.3.3.1

Move the negative in front of the fraction.

$y = - \frac{3 x}{5} + \frac{2}{5}$

Step 1.4

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

Tap for more steps...

Step 1.4.1

Reorder terms.

$y = - (\frac{3}{5} x) + \frac{2}{5}$

Step 1.4.2

Remove parentheses.

$y = - \frac{3}{5} x + \frac{2}{5}$

Step 2

Using the slope-intercept form, the slope is $- \frac{3}{5}$ .

$m = - \frac{3}{5}$

Step 3