Question

what is the slope of this line? (0, 6) (6, -30) simplify your answer and write it as a proper fraction, improper fraction.

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Identify two points

We have the points $(0,6)$ and $(6,- 30)$. Let $(x_1,y_1)=(0,6)$ and $(x_2,y_2)=(6,-30)$.

Step3: Substitute values into formula

$m=\frac{-30 - 6}{6 - 0}=\frac{-36}{6}=-6$.

Answer:

$-6$