Question

find the slope of the line that passes through (10, 6) and (3, 7). simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$ for points $(x_1,y_1)$ and $(x_2,y_2)$

Step2: Assign coordinates

Let $(x_1,y_1)=(10,6)$ and $(x_2,y_2)=(3,7)$

Step3: Substitute values into formula

$m = \frac{7 - 6}{3 - 10}$

Step4: Calculate numerator and denominator

$m = \frac{1}{-7} = -\frac{1}{7}$

Answer:

$-\frac{1}{7}$