Question

what is the slope of the line that passes through the points listed in the table below?

x	y
0	5
2	0
4	-5
6	-10
8	-15

options: $-\frac{2}{5}$, $-\frac{5}{2}$, $-\frac{5}{1}$, $-\frac{1}{5}$

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: Choose two points

Take \( (0, 5) \) and \( (2, 0) \). Here, \( x_1 = 0, y_1 = 5, x_2 = 2, y_2 = 0 \).

Step3: Calculate slope

Substitute into the formula: \( m=\frac{0 - 5}{2 - 0}=\frac{-5}{2}=-\frac{5}{2} \).

Answer:

\(-\frac{5}{2}\)