Question

question 8 of 10
what is the slope of the line shown below?
(1, 5)
(-1, -1)
a. 3
b. -3
c. -2
d. 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 the two points

The two points on the line are \((-1, -1)\) and \((1, 5)\). Let \((x_1, y_1)=(-1, -1)\) and \((x_2, y_2)=(1, 5)\).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{5 - (-1)}{1 - (-1)}=\frac{5 + 1}{1 + 1}=\frac{6}{2}=3 \).

Answer:

A. 3