Find the Slope and y-intercept f(x)=2-4/5x

$f (x) = 2 - \frac{4}{5} x$

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 $\frac{4}{5}$ .

$y = 2 - \frac{x \cdot 4}{5}$

Move $4$ to the left of $x$ .

$y = 2 - \frac{4 x}{5}$

Reorder $2$ and $- \frac{4 x}{5}$ .

$y = - \frac{4 x}{5} + 2$

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

Reorder terms.

$y = - (\frac{4}{5} x) + 2$

Remove parentheses.

$y = - \frac{4}{5} x + 2$

Step 2

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

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

$m = - \frac{4}{5}$

$b = 2$

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

Slope: $- \frac{4}{5}$

y-intercept: $(0, 2)$

Slope: $- \frac{4}{5}$

y-intercept: $(0, 2)$

Step 3