Question

what is the slope of this line? (with a coordinate grid and a line plotted)

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through the origin \((0, 0)\) and another point, say \((6, 18)\) (we can also use other points, but this is clear from the grid).

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 \((x_2, y_2)=(6, 18)\) into the formula, we get:
\(m=\frac{18 - 0}{6 - 0}=\frac{18}{6} = 3\)

Answer:

The slope of the line is \(3\).