Question

find the slope of the line that passes through (9, 3) and (5, 8). 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 $(x_1,y_1)=(9,3)$, $(x_2,y_2)=(5,8)$

Step3: Calculate numerator and denominator

$y_2 - y_1 = 8 - 3 = 5$; $x_2 - x_1 = 5 - 9 = -4$

Step4: Compute slope

$m = \frac{5}{-4} = -\frac{5}{4}$

Answer:

$-\frac{5}{4}$