Question

find the slope of the line that passes through (96, 2) and (12, 98). 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 \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Let \( (x_1, y_1)=(96, 2) \) and \( (x_2, y_2)=(12, 98) \).

Step2: Substitute values

Substitute into the formula: \( m=\frac{98 - 2}{12 - 96} \).

Step3: Simplify numerator and denominator

Calculate numerator: \( 98 - 2 = 96 \).
Calculate denominator: \( 12 - 96=-84 \).
So \( m=\frac{96}{-84} \).

Step4: Reduce the fraction

Divide numerator and denominator by their greatest common divisor, which is 12.
\( \frac{96\div12}{-84\div12}=\frac{8}{-7}=-\frac{8}{7} \).

Answer:

\(-\frac{8}{7}\)