look at this graph: what is the equation of the line in point - slope form? use the red point in your…

Explanation:

Step1: Find the slope of the line

Pick two points on the line. Let's assume the red - point is $(- 500,-300)$ and another point on the line can be $(0,0)$. The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. So, $m=\frac{0+300}{0 + 500}=\frac{3}{5}$.

Step2: Write the 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. Using the point $(-500,-300)$ and $m = \frac{3}{5}$, we get $y+300=\frac{3}{5}(x + 500)$.

Answer:

$y + 300=\frac{3}{5}(x + 500)$