Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Identify two points on the line

We can see that the line passes through the origin \((0,0)\) and another point, for example, when \(x = 1\), \(y=-3\) (or we can use \((0,0)\) and \((1, - 3)\)).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(1, - 3)\). Then \(m=\frac{-3 - 0}{1 - 0}=\frac{-3}{1}=-3\).

Answer:

\(-3\)