Question

what is the slope of this line? simplify your answer completely. slope = ? slope: rise/run

Explanation:

Step1: Identify two points on the line

The line passes through the origin \((0,0)\) and the point \((2,3)\).

Step2: Calculate the rise and run

Rise is the change in \(y\)-values: \(3 - 0 = 3\).
Run is the change in \(x\)-values: \(2 - 0 = 2\).

Step3: Find the slope

Slope is \(\frac{\text{rise}}{\text{run}}=\frac{3}{2}\).

Answer:

\(\frac{3}{2}\)