Pre-Algebra Examples

$8 x - 2 y = 5$

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

Subtract $8 x$ from both sides of the equation.

$- 2 y = 5 - 8 x$

Step 1.3

Divide each term in $- 2 y = 5 - 8 x$ by $- 2$ and simplify.

Tap for more steps...

Step 1.3.1

Divide each term in $- 2 y = 5 - 8 x$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{5}{- 2} + \frac{- 8 x}{- 2}$

Step 1.3.2

Simplify the left side.

Tap for more steps...

Step 1.3.2.1

Cancel the common factor of $- 2$ .

Tap for more steps...

Step 1.3.2.1.1

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{5}{- 2} + \frac{- 8 x}{- 2}$

Step 1.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{5}{- 2} + \frac{- 8 x}{- 2}$

Step 1.3.3

Simplify the right side.

Tap for more steps...

Step 1.3.3.1

Simplify each term.

Tap for more steps...

Step 1.3.3.1.1

Move the negative in front of the fraction.

$y = - \frac{5}{2} + \frac{- 8 x}{- 2}$

Step 1.3.3.1.2

Cancel the common factor of $- 8$ and $- 2$ .

Tap for more steps...

Step 1.3.3.1.2.1

Factor $- 2$ out of $- 8 x$ .

$y = - \frac{5}{2} + \frac{- 2 (4 x)}{- 2}$

Step 1.3.3.1.2.2

Cancel the common factors.

Tap for more steps...

Step 1.3.3.1.2.2.1

Factor $- 2$ out of $- 2$ .

$y = - \frac{5}{2} + \frac{- 2 (4 x)}{- 2 (1)}$

Step 1.3.3.1.2.2.2

Cancel the common factor.

$y = - \frac{5}{2} + \frac{- 2 (4 x)}{- 2 \cdot 1}$

Step 1.3.3.1.2.2.3

Rewrite the expression.

$y = - \frac{5}{2} + \frac{4 x}{1}$

Step 1.3.3.1.2.2.4

Divide $4 x$ by $1$ .

$y = - \frac{5}{2} + 4 x$

Step 1.4

Reorder $- \frac{5}{2}$ and $4 x$ .

$y = 4 x - \frac{5}{2}$

Step 2

Using the slope-intercept form, the slope is $4$ .

$m = 4$

Step 3