Question

find the linear function with the following properties. f(0) = 5 slope of f = -2 f(x) =

Explanation:

Step1: Recall linear function form

The slope-intercept form of a linear function is $f(x) = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Step2: Identify slope $m$

Given slope $m = -2$.

Step3: Identify y-intercept $b$

$f(0)=5$ means when $x=0$, $f(x)=5$, so $b=5$.

Step4: Substitute values into formula

Substitute $m=-2$ and $b=5$ into $f(x)=mx+b$.

Answer:

$f(x) = -2x + 5$