Find the Slope and y-intercept f(x)=6-8/9x

$f (x) = 6 - \frac{8}{9} x$

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 $\frac{8}{9}$ .

$y = 6 - \frac{x \cdot 8}{9}$

Move $8$ to the left of $x$ .

$y = 6 - \frac{8 x}{9}$

Reorder $6$ and $- \frac{8 x}{9}$ .

$y = - \frac{8 x}{9} + 6$

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

Reorder terms.

$y = - (\frac{8}{9} x) + 6$

Remove parentheses.

$y = - \frac{8}{9} x + 6$

Step 2

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

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

$m = - \frac{8}{9}$

$b = 6$

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

Slope: $- \frac{8}{9}$

y-intercept: $(0, 6)$

Slope: $- \frac{8}{9}$

y-intercept: $(0, 6)$

Step 3