find the equation of the line shown. enter your answer in point - slope form.

Explanation:

Step1: Identify two points on the line

Let's take two points, say $(- 10,5)$ and $(0,-5)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting the points $(-10,5)$ as $(x_1,y_1)$ and $(0,-5)$ as $(x_2,y_2)$ gives $m=\frac{-5 - 5}{0-(-10)}=\frac{-10}{10}=-1$.

Step3: Use the point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$. Using the point $(0,-5)$ (we could use any point on the line) and $m=-1$, we get $y-(-5)=-1(x - 0)$.

Answer:

$y + 5=-1(x - 0)$