Question

what is the slope of the line that passes through the points (-7, -8) and (-5, -6)? write your answer in simplest form.

Explanation:

Step1: Recall 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 coordinates

Let \( (x_1, y_1)=(-7, -8) \) and \( (x_2, y_2)=(-5, -6) \).

Step3: Substitute into formula

\( m=\frac{-6 - (-8)}{-5 - (-7)}=\frac{-6 + 8}{-5 + 7}=\frac{2}{2} \).

Step4: Simplify

\( \frac{2}{2}=1 \).

Answer:

1