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 points

We have two points: \((x_1, y_1)=(0, 6)\) and \((x_2, y_2)=(6, - 30)\).

Step3: Substitute into the formula

Substitute \( x_1 = 0,y_1 = 6,x_2=6,y_2=-30 \) into the slope formula:
\( m=\frac{-30 - 6}{6 - 0}=\frac{-36}{6} \)

Step4: Simplify the fraction

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

Answer:

\(-6\)