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, say \((1, -8)\) (by observing the graph, when \(x = 1\), \(y=-8\)).

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 \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Substituting \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(1, -8)\) into the formula, we get \(m=\frac{-8 - 0}{1 - 0}=\frac{-8}{1}=-8\).

Answer:

\(-8\)