Question

find the linear function with the following properties.$f(0) = 6$slope of $f = -9$answer 2 points$f(x) =$

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 of $f$ is $-9$, so $m = -9$.

Step3: Identify y-intercept $b$

$f(0) = 6$ means when $x=0$, $f(x)=6$. In the slope-intercept form, $f(0)=b$, so $b=6$.

Step4: Substitute $m$ and $b$

Substitute $m=-9$ and $b=6$ into $f(x)=mx+b$.
<Expression>
$f(x) = -9x + 6$
</Expression>

Answer:

$f(x) = -9x + 6$