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: Find the slope

The line passes through the origin $(0,0)$ and the red - point $(20,60)$. The slope $m$ is calculated as $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1 = 0,x_2=20,y_2 = 60$. So $m=\frac{60 - 0}{20 - 0}=\frac{60}{20}=3$.

Step2: Write the point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$. Using the point $(20,60)$ and $m = 3$, we substitute $x_1 = 20,y_1 = 60$ into the formula. We get $y-60 = 3(x - 20)$.

Answer:

$y-60 = 3(x - 20)$