Find the Slope and y-intercept f(x)=8-5/6x

$f (x) = 8 - \frac{5}{6} x$

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.

Simplify each term.

Combine $x$ and $\frac{5}{6}$ .

$y = 8 - \frac{x \cdot 5}{6}$

Move $5$ to the left of $x$ .

$y = 8 - \frac{5 x}{6}$

Reorder $8$ and $- \frac{5 x}{6}$ .

$y = - \frac{5 x}{6} + 8$

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

Reorder terms.

$y = - (\frac{5}{6} x) + 8$

Remove parentheses.

$y = - \frac{5}{6} x + 8$

Step 2

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

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

$m = - \frac{5}{6}$

$b = 8$

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

Slope: $- \frac{5}{6}$

y-intercept: $(0, 8)$

Slope: $- \frac{5}{6}$

y-intercept: $(0, 8)$

Step 3