Question

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find the slope of the line passing through the points (9, -9) and (3, -2).

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Let \((x_1, y_1)=(9, - 9)\) and \((x_2, y_2)=(3, - 2)\).

Step2: Substitute values into formula

Substitute \( x_1 = 9,y_1=-9,x_2 = 3,y_2=-2 \) into the slope formula:
\( m=\frac{-2-(-9)}{3 - 9} \)

Step3: Simplify numerator and denominator

Simplify numerator: \(-2-(-9)=-2 + 9=7\)
Simplify denominator: \(3 - 9=-6\)
So \( m=\frac{7}{-6}=-\frac{7}{6} \)

Answer:

\(-\frac{7}{6}\)