Question

find the slope of the line that passes through (10, 3) and (1, 7). simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Assign coordinates

Let $(x_1,y_1)=(10,3)$, $(x_2,y_2)=(1,7)$

Step3: Calculate numerator

$y_2 - y_1 = 7 - 3 = 4$

Step4: Calculate denominator

$x_2 - x_1 = 1 - 10 = -9$

Step5: Compute slope

$m = \frac{4}{-9} = -\frac{4}{9}$

Answer:

$-\frac{4}{9}$