Question

question 9 of 10
what is the slope of the line shown below?
(4, 8)
a. -1/3
(2, 2)
b. 1/3
c. -3
d. 3

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 the two points

The two points on the line are \((2, 2)\) and \((4, 8)\). Let \((x_1, y_1)=(2, 2)\) and \((x_2, y_2)=(4, 8)\).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{8 - 2}{4 - 2}=\frac{6}{2}=3 \).

Answer:

D. 3