using a line to find a point - slope equation\nwhat is the equation of the line in point - slope form?\n$y +…

Explanation:

Step1: Recall point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope.

Step2: Find two points on the line

From the graph, two points on the line are $(- 4,-4)$ and $(4,0)$.

Step3: Calculate the slope $m$

$m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0+4}{4 + 4}=\frac{4}{8}=\frac{1}{2}$.

Step4: Use point - slope form with point $(-4,-4)$

Substitute $x_1=-4$, $y_1 = - 4$ and $m=\frac{1}{2}$ into $y - y_1=m(x - x_1)$. We get $y+4=\frac{1}{2}(x + 4)$.

Answer:

A. $y + 4=\frac{1}{2}(x + 4)$