Question

find the slope of the line that passes through (8, 2) and (4, 3). 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 $(x_1,y_1)=(8,2)$, $(x_2,y_2)=(4,3)$

Step3: Calculate numerator and denominator

$y_2 - y_1 = 3 - 2 = 1$; $x_2 - x_1 = 4 - 8 = -4$

Step4: Compute slope

$m = \frac{1}{-4} = -\frac{1}{4}$

Answer:

$-\frac{1}{4}$