Question

what is the slope of this line? (with a coordinate grid and a green line passing through the origin)

Explanation:

Step1: Identify two points on the line

The line passes through the origin \((0, 0)\) and another point, say \((25, 5)\) (by looking at the grid, when \(x = 25\), \(y = 5\)).

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 \((x_2, y_2)=(25, 5)\) into the formula, we get \(m=\frac{5 - 0}{25 - 0}=\frac{5}{25}=\frac{1}{5}\).

Answer:

\(\frac{1}{5}\)