Question

what is the slope of the line that passes through the points (7, -7) and (8, -13)? 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 \( (x_1, y_1)=(7, - 7) \) and \( (x_2, y_2)=(8, - 13) \).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{-13 - (-7)}{8 - 7} \).

Step4: Simplify numerator and denominator

Simplify the numerator: \( -13-(-7)=-13 + 7=-6 \).
Simplify the denominator: \( 8 - 7 = 1 \).
So, \( m=\frac{-6}{1}=-6 \).

Answer:

\(-6\)