Question

what is the slope of this line? 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 given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify the two points

We have the points \((0, 24)\) and \((-6, -12)\). Let \((x_1, y_1)=(-6, -12)\) and \((x_2, y_2)=(0, 24)\).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{24 - (-12)}{0 - (-6)} \).
Simplify the numerator and denominator: \( 24 - (-12)=24 + 12 = 36 \) and \( 0 - (-6)=0 + 6 = 6 \).
So, \( m=\frac{36}{6} \).

Step4: Simplify the fraction

\(\frac{36}{6}=6\).

Answer:

6