Question

find the slope of the line that passes through (10, 7) and (3, 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 $(x_1,y_1)=(10,7)$, $(x_2,y_2)=(3,8)$

Step3: Calculate numerator

$y_2 - y_1 = 8 - 7 = 1$

Step4: Calculate denominator

$x_2 - x_1 = 3 - 10 = -7$

Step5: Compute slope

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

Answer:

$-\frac{1}{7}$