Question

what is the slope of this line? a coordinate plane with a line passing through (-18, 0) and (0, -12).

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 the two points

We have points \((-18, 0)\) and \((0, -12)\). Let \((x_1, y_1)=(-18, 0)\) and \((x_2, y_2)=(0, -12)\).

Step3: Substitute into the formula

Substitute into \( m=\frac{y_2 - y_1}{x_2 - x_1} \): \( m=\frac{-12 - 0}{0 - (-18)}=\frac{-12}{18} \).

Step4: Simplify the fraction

Simplify \(\frac{-12}{18}\) by dividing numerator and denominator by 6: \( m = -\frac{2}{3} \).

Answer:

\(-\frac{2}{3}\)