Question

answer attempt 2 out of 3 slope of the line:

Explanation:

Step1: Identify two points on the line

The line passes through the origin \((0,0)\) and another point, for example, when \(x = 4\), \(y=-4\) (or we can take another point like when \(x = -4\), \(y = 4\)). Let's use \((0,0)\) and \((4,-4)\).

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 \((x_2,y_2)=(4,-4)\), we get \(m=\frac{-4 - 0}{4 - 0}=\frac{-4}{4}=- 1\).

Answer:

\(-1\)