Question

2.6.ps - 10 find the slope of the line. the slope of the line is . (type an integer or a simplified fraction.)

Explanation:

Step1: Select two points on the line

Let's take two points \((x_1,y_1)=(- 6,-4)\) and \((x_2,y_2)=(6,4)\) from the graph.

Step2: Apply slope - formula

The slope formula is \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Substitute the values: \(m=\frac{4-(-4)}{6 - (-6)}\).

Step3: Simplify the expression

First, simplify the numerator and denominator. \(4-(-4)=4 + 4=8\) and \(6-(-6)=6 + 6 = 12\). So \(m=\frac{8}{12}=\frac{2}{3}\).

Answer:

\(\frac{2}{3}\)