Pre-Algebra Examples

$7.1 x + 6.6 y + 4.5 = 0$

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

Move all terms not containing $y$ to the right side of the equation.

Tap for more steps...

Step 1.2.1

Subtract $7.1 x$ from both sides of the equation.

$6.6 y + 4.5 = - 7.1 x$

Step 1.2.2

Subtract $4.5$ from both sides of the equation.

$6.6 y = - 7.1 x - 4.5$

Step 1.3

Divide each term in $6.6 y = - 7.1 x - 4.5$ by $6.6$ and simplify.

Tap for more steps...

Step 1.3.1

Divide each term in $6.6 y = - 7.1 x - 4.5$ by $6.6$ .

$\frac{6.6 y}{6.6} = \frac{- 7.1 x}{6.6} + \frac{- 4.5}{6.6}$

Step 1.3.2

Simplify the left side.

Tap for more steps...

Step 1.3.2.1

Cancel the common factor of $6.6$ .

Tap for more steps...

Step 1.3.2.1.1

Cancel the common factor.

$\frac{6.6 y}{6.6} = \frac{- 7.1 x}{6.6} + \frac{- 4.5}{6.6}$

Step 1.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 7.1 x}{6.6} + \frac{- 4.5}{6.6}$

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.

$y = - \frac{7.1 x}{6.6} + \frac{- 4.5}{6.6}$

Step 1.3.3.1.2

Factor $7.1$ out of $7.1 x$ .

$y = - \frac{7.1 (x)}{6.6} + \frac{- 4.5}{6.6}$

Step 1.3.3.1.3

Factor $6.6$ out of $6.6$ .

$y = - \frac{7.1 (x)}{6.6 (1)} + \frac{- 4.5}{6.6}$

Step 1.3.3.1.4

Separate fractions.

$y = - (\frac{7.1}{6.6} \cdot \frac{x}{1}) + \frac{- 4.5}{6.6}$

Step 1.3.3.1.5

Divide $7.1$ by $6.6$ .

$y = - (1.0\overline{75} \frac{x}{1}) + \frac{- 4.5}{6.6}$

Step 1.3.3.1.6

Divide $x$ by $1$ .

$y = - (1.0\overline{75} x) + \frac{- 4.5}{6.6}$

Step 1.3.3.1.7

Multiply $1.0\overline{75}$ by $- 1$ .

$y = - 1.0\overline{75} x + \frac{- 4.5}{6.6}$

Step 1.3.3.1.8

Divide $- 4.5$ by $6.6$ .

$y = - 1.0\overline{75} x - 0.6\overline{81}$

Step 2

Using the slope-intercept form, the y-intercept is $- 0.6\overline{81}$ .

$b = - 0.6\overline{81}$

Step 3

y-intercept in point form.

$(0, - 0.6\overline{81})$

Step 4