Find the Slope and y-intercept f(x)=5-1/2x

$f (x) = 5 - \frac{1}{2} x$

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.

Combine $x$ and $\frac{1}{2}$ .

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

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

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

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

Reorder terms.

$y = - (\frac{1}{2} x) + 5$

Remove parentheses.

$y = - \frac{1}{2} x + 5$

Step 2

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

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

$m = - \frac{1}{2}$

$b = 5$

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

Slope: $- \frac{1}{2}$

y-intercept: $(0, 5)$

Slope: $- \frac{1}{2}$

y-intercept: $(0, 5)$

Step 3