Question

1. a right triangle has a slope of $\frac{3}{7}$. if the rise is 9, then find the run.

Explanation:

Step1: Recall the slope formula

Slope \(m=\frac{\text{rise}}{\text{run}}\). Given \(m = \frac{3}{7}\) and rise \(=9\). Let run be \(x\). Then \(\frac{3}{7}=\frac{9}{x}\).

Step2: Solve for \(x\)

Cross - multiply: \(3x=9\times7\). So \(3x = 63\). Divide both sides by 3: \(x=\frac{63}{3}\).

Answer:

\(21\)