Question

what is the slope of this line?

Explanation:

Step1: Select two points on the line

Let's take two points \((x_1,y_1)=(0, - 5)\) and \((x_2,y_2)=(10,0)\) from the graph.

Step2: Use the slope - formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substitute \(x_1 = 0,y_1=-5,x_2 = 10,y_2 = 0\) into the formula.
\[m=\frac{0-(-5)}{10 - 0}=\frac{5}{10}=\frac{1}{2}\]

Answer:

\(\frac{1}{2}\)