Question

what is the slope of this line?
(-12, 18)
(0, 0)
simplify your answer and write it as a proper fraction, improper fraction, or integer.

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 two points

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

Step3: Substitute into formula

Substitute values: \( m = \frac{0 - 18}{0 - (-12)} = \frac{-18}{12} \).

Step4: Simplify the fraction

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

Answer:

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