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 two points on the line. From the graph, we can take two clear - cut points. Suppose we take the points \((x_1,y_1)=(- 60,0)\) and \((x_2,y_2)=(0, - 40)\).

Step2: Calculate the slope \(m\)

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting the values, we get \(m=\frac{-40 - 0}{0+60}=-\frac{2}{3}\).

Step3: Use the point - slope form

The point - slope form of a line is \(y - y_1=m(x - x_1)\). Using the point \((-60,0)\) and \(m =-\frac{2}{3}\), we have \(y-0 =-\frac{2}{3}(x + 60)\).

Answer:

\(y=-\frac{2}{3}(x + 60)\)