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 the 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 \( (-1, 5) \) and \( (0, 0) \). Let \( (x_1, y_1)=(-1, 5) \) and \( (x_2, y_2)=(0, 0) \).

Step3: Substitute into the slope formula

Substitute the values into \( m=\frac{y_2 - y_1}{x_2 - x_1} \):
\( m=\frac{0 - 5}{0 - (-1)}=\frac{-5}{1}=-5 \)

Answer:

\(-5\)