Question

find the slope of the line that passes through (2, 2) and (9, 7). simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Assign coordinates

Let $(x_1,y_1)=(2,2)$, $(x_2,y_2)=(9,7)$

Step3: Calculate numerator and denominator

$y_2 - y_1 = 7 - 2 = 5$; $x_2 - x_1 = 9 - 2 = 7$

Step4: Compute slope

$m = \frac{5}{7}$

Answer:

$\frac{5}{7}$