Question

question 15
find the slope of the line going through the given pair of points.
(-1, -9) and (-7, 3)

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 \((x_1, y_1)=(-1, -9)\) and \((x_2, y_2)=(-7, 3)\).

Step3: Substitute into formula

Substitute values: \( m=\frac{3 - (-9)}{-7 - (-1)}=\frac{3 + 9}{-7 + 1}=\frac{12}{-6} \).

Step4: Simplify

Simplify \(\frac{12}{-6}=-2\).

Answer:

\(-2\)