Question

find the slope of the line that passes through (7, 10) and (5, 1). 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 $m=\frac{y_2-y_1}{x_2-x_1}$

Step2: Assign values to variables

Let $(x_1,y_1)=(7,10)$ and $(x_2,y_2)=(5,1)$. Substitute:
$m=\frac{1-10}{5-7}$

Step3: Calculate numerator and denominator

$m=\frac{-9}{-2}$

Step4: Simplify the fraction

$m=\frac{9}{2}$

Answer:

$\frac{9}{2}$