Question

find the slope of the line containing the pair of points.
(-2, -7) and (3,2)

select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the slope is (simplify your answer. type an integer or a fraction.)
b. the slope is undefined

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 coordinates

Let \( (x_1, y_1)=(-2, -7) \) and \( (x_2, y_2)=(3, 2) \).

Step3: Substitute into formula

Substitute values: \( m=\frac{2 - (-7)}{3 - (-2)}=\frac{2 + 7}{3 + 2}=\frac{9}{5} \).

Answer:

A. The slope is \(\frac{9}{5}\)