Question

5 multiple choice 4 points what is the slope of the line represented by the table of values below? x y 0 -20 1 -10 2 0 3 10 3 20 10 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: Choose two points

Let's take \((0, -20)\) and \((1, -10)\). Here, \( x_1 = 0 \), \( y_1 = -20 \), \( x_2 = 1 \), \( y_2 = -10 \).

Step3: Calculate slope

Substitute into the formula: \( m=\frac{-10 - (-20)}{1 - 0}=\frac{-10 + 20}{1}=\frac{10}{1}=10 \).

Answer:

10