Question

homework 3.2 assess 45min what is the slope of this line? slope = (write the slope in simplest form.)

Explanation:

Step1: Select two points on the line

Let's take two clear - cut points on the line. For example, the points (-3, 2) and (3, - 2).

Step2: Use the slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $(x_1,y_1)=(-3,2)$ and $(x_2,y_2)=(3,-2)$. Then $m=\frac{-2 - 2}{3-(-3)}$.

Step3: Simplify the expression

First, calculate the numerator: $-2 - 2=-4$. Then calculate the denominator: $3-(-3)=3 + 3=6$. So, $m=\frac{-4}{6}=-\frac{2}{3}$.

Answer:

$-\frac{2}{3}$