Question

find the slope of the line graphed below.

Explanation:

Step1: Select two points on the line

Let's choose the points \((-2,1)\) and \((-4,-5)\) from the graph.

Step2: Use the slope formula \(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Here, \(x_1=-2,y_1 = 1,x_2=-4,y_2=-5\).
Substitute into the formula: \(m=\frac{-5 - 1}{-4-(-2)}\)

Step3: Simplify the expression

First, calculate the numerator: \(-5 - 1=-6\)
Then, calculate the denominator: \(-4-(-2)=-4 + 2=-2\)
So, \(m=\frac{-6}{-2}=3\)

Answer:

\(3\)