Question

find the slope of the line that passes through (10, 7) and (1, 12). simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Identify the formula for slope

The formula for 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: Assign values to \(x_1,y_1,x_2,y_2\)

Let \((x_1,y_1)=(10,7)\) and \((x_2,y_2)=(1,12)\). Then \(y_2 - y_1=12 - 7 = 5\) and \(x_2 - x_1=1 - 10=-9\).

Step3: Calculate the slope

Substitute into the formula: \(m=\frac{12 - 7}{1 - 10}=\frac{5}{-9}=-\frac{5}{9}\).

Answer:

\(-\frac{5}{9}\)