Pre-Algebra Examples

$y = \frac{2}{3} x + \frac{1}{6} \cdot (- 55)$

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 $\frac{2}{3}$ and $x$ .

$y = \frac{2 x}{3} + \frac{1}{6} \cdot (- 55)$

Step 1.2.1.2

Combine $\frac{1}{6}$ and $- 55$ .

$y = \frac{2 x}{3} + \frac{- 55}{6}$

Step 1.2.1.3

Move the negative in front of the fraction.

$y = \frac{2 x}{3} - \frac{55}{6}$

Step 1.3

Reorder terms.

$y = \frac{2}{3} x - \frac{55}{6}$

Step 2

Using the slope-intercept form, the slope is $\frac{2}{3}$ .

$m = \frac{2}{3}$

Step 3