use the graph of the line to answer the questions. what is an equation of the line in point - slope form…

Explanation:

Step1: Find two points on the line

The line passes through (-2, -1) and (1, 0).

Step2: Calculate the slope $m$

$m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0-(-1)}{1 - (-2)}=\frac{1}{3}$

Step3: Write the point - slope form

Using the point $(1,0)$ and slope $m = \frac{1}{3}$, the point - slope form is $y - y_1=m(x - x_1)$, so $y-0=\frac{1}{3}(x - 1)$ or $y=\frac{1}{3}(x - 1)$.

Step4: Write in function notation

Replace $y$ with $f(x)$, so $f(x)=\frac{1}{3}(x - 1)$.

Answer:

An equation of the line in point - slope form: $y=\frac{1}{3}(x - 1)$ The point - slope form in function notation: $f(x)=\frac{1}{3}(x - 1)$