Finite Math Examples

$y = - \frac{6}{7} x + \frac{1}{3}$

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 $x$ and $\frac{6}{7}$ .

$y = - \frac{x \cdot 6}{7} + \frac{1}{3}$

Step 1.2.1.2

Move $6$ to the left of $x$ .

$y = - \frac{6 x}{7} + \frac{1}{3}$

Step 1.3

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

Tap for more steps...

Step 1.3.1

Reorder terms.

$y = - (\frac{6}{7} x) + \frac{1}{3}$

Step 1.3.2

Remove parentheses.

$y = - \frac{6}{7} x + \frac{1}{3}$

Step 2

Use the slope-intercept form to find the slope and y-intercept.

Tap for more steps...

Step 2.1

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = - \frac{6}{7}$

$b = \frac{1}{3}$

Step 2.2

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $- \frac{6}{7}$

y-intercept: $(0, \frac{1}{3})$

Slope: $- \frac{6}{7}$

y-intercept: $(0, \frac{1}{3})$

Step 3