Pre-Algebra Examples

$y = 54 x + 6 y - 58 \cdot 6$

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

Multiply $- 58$ by $6$ .

$y = 54 x + 6 y - 348$

Step 1.3

Move all terms containing $y$ to the left side of the equation.

Tap for more steps...

Step 1.3.1

Subtract $6 y$ from both sides of the equation.

$y - 6 y = 54 x - 348$

Step 1.3.2

Subtract $6 y$ from $y$ .

$- 5 y = 54 x - 348$

Step 1.4

Divide each term in $- 5 y = 54 x - 348$ by $- 5$ and simplify.

Tap for more steps...

Step 1.4.1

Divide each term in $- 5 y = 54 x - 348$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{54 x}{- 5} + \frac{- 348}{- 5}$

Step 1.4.2

Simplify the left side.

Tap for more steps...

Step 1.4.2.1

Cancel the common factor of $- 5$ .

Tap for more steps...

Step 1.4.2.1.1

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{54 x}{- 5} + \frac{- 348}{- 5}$

Step 1.4.2.1.2

Divide $y$ by $1$ .

$y = \frac{54 x}{- 5} + \frac{- 348}{- 5}$

Step 1.4.3

Simplify the right side.

Tap for more steps...

Step 1.4.3.1

Simplify each term.

Tap for more steps...

Step 1.4.3.1.1

Move the negative in front of the fraction.

$y = - \frac{54 x}{5} + \frac{- 348}{- 5}$

Step 1.4.3.1.2

Dividing two negative values results in a positive value.

$y = - \frac{54 x}{5} + \frac{348}{5}$

Step 1.5

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

Tap for more steps...

Step 1.5.1

Reorder terms.

$y = - (\frac{54}{5} x) + \frac{348}{5}$

Step 1.5.2

Remove parentheses.

$y = - \frac{54}{5} x + \frac{348}{5}$

Step 2

Using the slope-intercept form, the slope is $- \frac{54}{5}$ .

$m = - \frac{54}{5}$

Step 3