Question

find the slope of the line passing through the given pair of points.
(-15,17) and (-13,-13)
a. -15
b. $-\frac{1}{15}$
c. $-\frac{1}{7}$
d. 15

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: Identify coordinates

Let \( (x_1, y_1)=(-15, 17) \) and \( (x_2, y_2)=(-13, -13) \).

Step3: Substitute into formula

Substitute values: \( m=\frac{-13 - 17}{-13 - (-15)} \).

Step4: Simplify numerator and denominator

Numerator: \( -13 - 17=-30 \). Denominator: \( -13 + 15 = 2 \).

Step5: Calculate slope

\( m=\frac{-30}{2}=-15 \).

Answer:

A. \(-15\)