Question

what is the slope of the line that passes through the points (9, 5) and (21, -5)? write your answer in simplest form. answer attempt 1 out of 5 submit answer

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 \((x_1, y_1)=(9, 5)\) and \((x_2, y_2)=(21, - 5)\).

Step3: Substitute into formula

Substitute values: \( m=\frac{-5 - 5}{21 - 9} \).

Step4: Simplify numerator and denominator

Numerator: \(-5 - 5=-10\), Denominator: \(21 - 9 = 12\). So \( m=\frac{-10}{12} \).

Step5: Reduce fraction

Divide numerator and denominator by 2: \( m =-\frac{5}{6} \).

Answer:

\(-\frac{5}{6}\)