Question

find the slope of the line that passes through (13, 70) and (2, 85). simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall the slope formula

The slope \( m \) of a line passing through two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Let \( (x_1, y_1)=(13, 70) \) and \( (x_2, y_2)=(2, 85) \).

Step2: Substitute the values into the formula

Substitute \( x_1 = 13 \), \( y_1 = 70 \), \( x_2 = 2 \), and \( y_2 = 85 \) into the slope formula:
\( m=\frac{85 - 70}{2 - 13} \)

Step3: Simplify the numerator and the denominator

First, simplify the numerator: \( 85-70 = 15 \)
Then, simplify the denominator: \( 2 - 13=- 11 \)
So, \( m=\frac{15}{-11}=-\frac{15}{11} \)

Answer:

\(-\frac{15}{11}\)