Question

find the slope of the line that passes through (4, 11) and (10, 6). 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 $(x_1,y_1)=(4,11)$, $(x_2,y_2)=(10,6)$

Step3: Calculate numerator

$y_2 - y_1 = 6 - 11 = -5$

Step4: Calculate denominator

$x_2 - x_1 = 10 - 4 = 6$

Step5: Compute slope

$m = \frac{-5}{6} = -\frac{5}{6}$

Answer:

$-\frac{5}{6}$