Question

find the slope of the line that passes through (2, 1) and (10, 10). 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 \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Here, \((x_1, y_1)=(2, 1)\) and \((x_2, y_2)=(10, 10)\).

Step2: Substitute the values into the formula

Substitute \( x_1 = 2\), \( y_1 = 1\), \( x_2 = 10\), and \( y_2 = 10\) into the slope formula:
\( m=\frac{10 - 1}{10 - 2}=\frac{9}{8} \)

Answer:

\(\frac{9}{8}\)