Question

question 4 of 10, step 1 of 1
find the linear function with the following properties.
$f(0) = -2$
slope of $f = 7$
answer
$f(x) = \square$

Explanation:

Step1: Recall linear function form

The standard form of a linear function is $f(x) = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept (where $x=0$).

Step2: Identify given values

We know slope $m = 7$, and $f(0) = -2$ means $b = -2$.

Step3: Substitute values into form

Substitute $m=7$ and $b=-2$ into $f(x)=mx+b$.
<Expression>
$f(x) = 7x + (-2) = 7x - 2$
</Expression>

Answer:

$f(x) = 7x - 2$