Precalculus Examples

$4 = - \frac{3}{5} x - y$

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

Simplify the right side.

Tap for more steps...

Step 1.2.1

Simplify each term.

Tap for more steps...

Step 1.2.1.1

Combine $x$ and $\frac{3}{5}$ .

$4 = - \frac{x \cdot 3}{5} - y$

Step 1.2.1.2

Move $3$ to the left of $x$ .

$4 = - \frac{3 x}{5} - y$

Step 1.3

Rewrite the equation as $- \frac{3 x}{5} - y = 4$ .

$- \frac{3 x}{5} - y = 4$

Step 1.4

Add $\frac{3 x}{5}$ to both sides of the equation.

$- y = 4 + \frac{3 x}{5}$

Step 1.5

Divide each term in $- y = 4 + \frac{3 x}{5}$ by $- 1$ and simplify.

Tap for more steps...

Step 1.5.1

Divide each term in $- y = 4 + \frac{3 x}{5}$ by $- 1$ .

$\frac{- y}{- 1} = \frac{4}{- 1} + \frac{\frac{3 x}{5}}{- 1}$

Step 1.5.2

Simplify the left side.

Tap for more steps...

Step 1.5.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{4}{- 1} + \frac{\frac{3 x}{5}}{- 1}$

Step 1.5.2.2

Divide $y$ by $1$ .

$y = \frac{4}{- 1} + \frac{\frac{3 x}{5}}{- 1}$

Step 1.5.3

Simplify the right side.

Tap for more steps...

Step 1.5.3.1

Simplify each term.

Tap for more steps...

Step 1.5.3.1.1

Divide $4$ by $- 1$ .

$y = - 4 + \frac{\frac{3 x}{5}}{- 1}$

Step 1.5.3.1.2

Move the negative one from the denominator of $\frac{\frac{3 x}{5}}{- 1}$ .

$y = - 4 - 1 \cdot \frac{3 x}{5}$

Step 1.5.3.1.3

Rewrite $- 1 \cdot \frac{3 x}{5}$ as $- \frac{3 x}{5}$ .

$y = - 4 - \frac{3 x}{5}$

Step 1.6

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

Tap for more steps...

Step 1.6.1

Reorder $- 4$ and $- \frac{3 x}{5}$ .

$y = - \frac{3 x}{5} - 4$

Step 1.6.2

Reorder terms.

$y = - (\frac{3}{5} x) - 4$

Step 1.6.3

Remove parentheses.

$y = - \frac{3}{5} x - 4$

Step 2

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

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

Step 3