Question

what is the equation of the line in point - slope form? use the red point in your equation. write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Identify two - points on the line

Let's assume another point on the line is the origin $(0,0)$ and the red - marked point is approximately $(-60,60)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Using $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(-60,60)$, we have $m=\frac{60 - 0}{-60 - 0}=-1$.

Step3: Use the point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$. Using the point $(0,0)$ and $m = - 1$, we get $y-0=-1(x - 0)$, which simplifies to $y=-x$. In point - slope form using the point $(-60,60)$ and $m=-1$, the equation is $y - 60=-1(x + 60)$.

Answer:

$y - 60=-1(x + 60)$