Question

find the slope of the line graphed below

Explanation:

Step1: Identify two points

From the graph, we can identify two clear points: \((2, 1)\) and \((4, -1)\). Let's label them as \((x_1, y_1) = (2, 1)\) and \((x_2, y_2) = (4, -1)\).

Step2: Use the slope formula

The slope \(m\) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by the formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\).

Substitute the values of the points into the formula:
\(m=\frac{-1 - 1}{4 - 2}\)

Step3: Simplify the expression

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

Answer:

\(-1\)