Question

what is the slope of this line? (graph with points (-50, 10) and (0, -10))

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

From the graph, the two points are \((-50, 10)\) and \((0, -10)\). Let \((x_1, y_1)=(-50, 10)\) and \((x_2, y_2)=(0, -10)\).

Step3: Substitute into the slope formula

Substitute \( x_1=-50 \), \( y_1 = 10 \), \( x_2=0 \), and \( y_2=-10 \) into the formula:
\[
m=\frac{-10 - 10}{0 - (-50)}=\frac{-20}{50}=-\frac{2}{5}
\]

Answer:

\(-\frac{2}{5}\)