Question

introduction to slope - item 32606
what is the slope of this graph?
(1, 4) is point a, (3, 2) is point b on the graph.
the slope of the graph is blank.

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

Let \((x_1, y_1)=(1, 4)\) and \((x_2, y_2)=(3, 2)\).

Step3: Substitute into formula

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

Answer:

\(-1\)