Question

find the slope of the line that passes through (2, 12) and (9, 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 $(x_1,y_1)=(2,12)$, $(x_2,y_2)=(9,8)$

Step3: Calculate numerator

$y_2 - y_1 = 8 - 12 = -4$

Step4: Calculate denominator

$x_2 - x_1 = 9 - 2 = 7$

Step5: Compute slope

$m = \frac{-4}{7} = -\frac{4}{7}$

Answer:

$-\frac{4}{7}$