Question

determine the slope of the line through the given points.
(-7, 10) and (-9, -5)
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the slope is \boxed{}. (type an integer or a simplified 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 \( (x_1, y_1)=(-7, 10) \) and \( (x_2, y_2)=(-9, -5) \).

Step3: Substitute into formula

\( m=\frac{-5 - 10}{-9 - (-7)}=\frac{-15}{-9 + 7}=\frac{-15}{-2}=\frac{15}{2} \).

Answer:

A. The slope is \(\frac{15}{2}\)