find the slope of the line containing the given points. (if an answer is undefined, enter undefined.) p₁(1…

find the slope of the line containing the given points. (if an answer is undefined, enter undefined.) p₁(1, 7), p₂(7, 1)

find the slope of the line containing the given points. (if an answer is undefined, enter undefined.) p₁(1, 7), p₂(7, 1)

Answer

Explanation:

Step1: Recall slope formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify coordinates

Here, $x_1 = 1,y_1 = 7,x_2 = 7,y_2 = 1$.

Step3: Substitute values

$m=\frac{1 - 7}{7 - 1}=\frac{-6}{6}$.

Step4: Simplify

$m=- 1$.

Answer:

$-1$