Question

question 7 of 10
what is the slope of the line shown below?
(3,7)
a. 5
b. 2
c. -2
d. -5
(-2,-3)

Explanation:

Step1: Recall the slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify the two points

The two points on the line are \((-2, -3)\) and \((3, 7)\). Let \((x_1, y_1)=(-2, -3)\) and \((x_2, y_2)=(3, 7)\).

Step3: Substitute into the slope formula

Substitute the values into the formula: \( m=\frac{7 - (-3)}{3 - (-2)}=\frac{7 + 3}{3 + 2}=\frac{10}{5}=2 \).

Answer:

B. 2