Question

what is the slope of this graph? the slope of the graph is blank (with a coordinate graph showing points a(1,4) and b(3,2))

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m = \frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify points

From the graph, points are \( A(1, 4) \) and \( B(3, 2) \). Let \( (x_1, y_1) = (1, 4) \) and \( (x_2, y_2) = (3, 2) \).

Step3: Calculate slope

Substitute into the formula: \( m = \frac{2 - 4}{3 - 1} = \frac{-2}{2} = -1 \).

Answer:

\(-1\)