Find the Slope and y-intercept f(x)=2/3x-6

$f (x) = \frac{2}{3} x - 6$

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.

$y = m x + b$

Simplify the right side.

Combine $\frac{2}{3}$ and $x$ .

$y = \frac{2 x}{3} - 6$

Reorder terms.

$y = \frac{2}{3} x - 6$

Step 2

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

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

$m = \frac{2}{3}$

$b = - 6$

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

Slope: $\frac{2}{3}$

y-intercept: $(0, - 6)$

Slope: $\frac{2}{3}$

y-intercept: $(0, - 6)$

Step 3