Question

what is the slope of the line that passes through the points (8, -6) and (11, -12)? 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 \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Here, \( x_1 = 8 \), \( y_1=-6 \), \( x_2 = 11 \), \( y_2=-12 \).

Step2: Substitute values into formula

Substitute the values into the slope formula: \( m=\frac{-12 - (-6)}{11 - 8} \).
Simplify the numerator: \( -12 - (-6)=-12 + 6=-6 \).
Simplify the denominator: \( 11 - 8 = 3 \).

Step3: Simplify the fraction

Now, \( m=\frac{-6}{3}=-2 \).

Answer:

\(-2\)