Question

find the slope of the line that passes through (6, 3) and (3, 11). simplify your answer and write it as a proper fraction, improper fraction, or integer.

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, \( x_1 = 6 \), \( y_1 = 3 \), \( x_2 = 3 \), \( y_2 = 11 \).

Step2: Substitute values into formula

Substitute the values into the slope formula: \( m=\frac{11 - 3}{3 - 6} \).

Step3: Simplify numerator and denominator

Simplify the numerator: \( 11 - 3 = 8 \).
Simplify the denominator: \( 3 - 6=-3 \).
So, \( m = \frac{8}{-3}=-\frac{8}{3} \).

Answer:

\(-\frac{8}{3}\)