Question

find the slope of the line that passes through (8, 5) and (1, 9).
simplify your answer and write it as a proper fraction, improper fraction, or integer.
submit

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$.

Step2: Assign values to variables

Let $(x_1,y_1)=(8,5)$ and $(x_2,y_2)=(1,9)$. Substitute into the formula:
$m=\frac{9-5}{1-8}$

Step3: Calculate numerator and denominator

Compute the differences:
$m=\frac{4}{-7}$

Step4: Simplify the fraction

Rewrite to standard form:
$m=-\frac{4}{7}$

Answer:

$-\frac{4}{7}$