Find the Slope and y-intercept y=5/6+x/3

$y = \frac{5}{6} + \frac{x}{3}$

Step 1

Rewrite in slope-intercept form.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Reorder $\frac{5}{6}$ and $\frac{x}{3}$ .

$y = \frac{x}{3} + \frac{5}{6}$

Reorder terms.

$y = \frac{1}{3} x + \frac{5}{6}$

Step 2

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

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

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

$b = \frac{5}{6}$

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

Slope: $\frac{1}{3}$

y-intercept: $(0, \frac{5}{6})$

Slope: $\frac{1}{3}$

y-intercept: $(0, \frac{5}{6})$

Step 3