Question

what is the slope of this line? the line passes through (-9, 12) and (9, 6) on a coordinate grid.

Explanation:

Step1: Recall slope formula

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

Step2: Identify the points

We have two points: \((x_1, y_1) = (-9, 12)\) and \((x_2, y_2) = (9, 6)\).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m = \frac{6 - 12}{9 - (-9)} \).

Step4: Simplify the numerator and denominator

Simplify the numerator: \( 6 - 12 = -6 \).
Simplify the denominator: \( 9 - (-9) = 9 + 9 = 18 \).

Step5: Calculate the slope

Now, \( m = \frac{-6}{18} = -\frac{1}{3} \).

Answer:

\(-\frac{1}{3}\)