Question

introduction to slope - item 52605
use the coordinates of the plotted points to complete the calculation below.
pay attention to negative signs.
(graph with points a(1, 4) and b(3, 2) on a coordinate plane)
the slope of this line is dropdown with options -2, -1, 1, 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 coordinates

Point \( A \) is \((1, 4)\) so \( x_1 = 1, y_1 = 4 \). Point \( B \) is \((3, 2)\) so \( x_2 = 3, y_2 = 2 \).

Step3: Substitute into formula

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

Answer:

-1