Question

find the slope of the line that goes through the points (2,-13) and (-9,-14). slope, m = enter your answer as an integer or a reduced fraction in the form a/b question help: video

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Let \((x_1, y_1)=(2, - 13)\) and \((x_2, y_2)=(-9, - 14)\).

Step2: Substitute values into formula

Substitute \( x_1 = 2,y_1=-13,x_2=-9,y_2 = - 14 \) into the slope formula:
\( m=\frac{-14-(-13)}{-9 - 2} \)

Step3: Simplify numerator and denominator

Simplify the numerator: \(-14-(-13)=-14 + 13=-1\)
Simplify the denominator: \(-9-2=-11\)
So \( m=\frac{-1}{-11}=\frac{1}{11} \)

Answer:

\(\frac{1}{11}\)