Question

find the slope of the line that passes through (8, 6) and (5, 10). 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 $(x_1,y_1)=(8,6)$ and $(x_2,y_2)=(5,10)$

Step3: Calculate numerator

$y_2 - y_1 = 10 - 6 = 4$

Step4: Calculate denominator

$x_2 - x_1 = 5 - 8 = -3$

Step5: Compute slope

$m = \frac{4}{-3} = -\frac{4}{3}$

Answer:

$-\frac{4}{3}$