Pre-Algebra Examples

$7 y + 42 = - 14 x$

Step 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 2

Rewrite in slope-intercept form.

Tap for more steps...

Step 2.1

Subtract $42$ from both sides of the equation.

$7 y = - 14 x - 42$

Step 2.2

Divide each term in $7 y = - 14 x - 42$ by $7$ and simplify.

Tap for more steps...

Step 2.2.1

Divide each term in $7 y = - 14 x - 42$ by $7$ .

$\frac{7 y}{7} = \frac{- 14 x}{7} + \frac{- 42}{7}$

Step 2.2.2

Simplify the left side.

Tap for more steps...

Step 2.2.2.1

Cancel the common factor of $7$ .

Tap for more steps...

Step 2.2.2.1.1

Cancel the common factor.

$\frac{7 y}{7} = \frac{- 14 x}{7} + \frac{- 42}{7}$

Step 2.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 14 x}{7} + \frac{- 42}{7}$

Step 2.2.3

Simplify the right side.

Tap for more steps...

Step 2.2.3.1

Simplify each term.

Tap for more steps...

Step 2.2.3.1.1

Cancel the common factor of $- 14$ and $7$ .

Tap for more steps...

Step 2.2.3.1.1.1

Factor $7$ out of $- 14 x$ .

$y = \frac{7 (- 2 x)}{7} + \frac{- 42}{7}$

Step 2.2.3.1.1.2

Cancel the common factors.

Tap for more steps...

Step 2.2.3.1.1.2.1

Factor $7$ out of $7$ .

$y = \frac{7 (- 2 x)}{7 (1)} + \frac{- 42}{7}$

Step 2.2.3.1.1.2.2

Cancel the common factor.

$y = \frac{7 (- 2 x)}{7 \cdot 1} + \frac{- 42}{7}$

Step 2.2.3.1.1.2.3

Rewrite the expression.

$y = \frac{- 2 x}{1} + \frac{- 42}{7}$

Step 2.2.3.1.1.2.4

Divide $- 2 x$ by $1$ .

$y = - 2 x + \frac{- 42}{7}$

Step 2.2.3.1.2

Divide $- 42$ by $7$ .

$y = - 2 x - 6$