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

The line passes through the origin \((0,0)\) and another point, for example, \((1, -1)\) (we can also use other points like \((2, -2)\), etc.).

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's take \((x_1, y_1)=(0,0)\) and \((x_2, y_2)=(1, -1)\). Then \(m=\frac{-1 - 0}{1 - 0}=\frac{-1}{1}=- 1\). We can also check with another point, say \((2,-2)\), then \(m=\frac{-2 - 0}{2 - 0}=\frac{-2}{2}=-1\).

Answer:

\(-1\)