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 \(x = 1\), \(y=-2\), so the point is \((1, -2)\).

Step2: Use the slope formula

The slope \(m\) of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(0, 0)\) and \((x_2,y_2)=(1, -2)\). Then \(m=\frac{-2 - 0}{1 - 0}=\frac{-2}{1}=- 2\).

Answer:

\(-2\)