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

Explanation:

Step1: Find the slope ($m$)

The line passes through the y - intercept $(0, - 800)$. Let's assume the red - marked point is $(800,-1000)$. The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Using $(x_1,y_1)=(0,-800)$ and $(x_2,y_2)=(800,-1000)$, we have $m=\frac{-1000-( - 800)}{800 - 0}=\frac{-1000 + 800}{800}=\frac{-200}{800}=-\frac{1}{4}$.

Step2: Write the point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$. Using the point $(0,-800)$ (where $x_1 = 0$ and $y_1=-800$) and $m =-\frac{1}{4}$, we get $y-(-800)=-\frac{1}{4}(x - 0)$.

Answer:

$y + 800=-\frac{1}{4}x$