Question

linear review practice #1

1. perpendicular to the following

graph
m=

Explanation:

Step1: Find slope of given line

Identify two points on the line, e.g., \((0, -4)\) and \((3, -2)\).
Slope formula: \(m = \frac{y_2 - y_1}{x_2 - x_1}\)
\(m_{\text{given}} = \frac{-2 - (-4)}{3 - 0} = \frac{2}{3}\)

Step2: Find slope of perpendicular line

Perpendicular slopes are negative reciprocals: \(m_{\perp} = -\frac{1}{m_{\text{given}}}\)
\(m_{\perp} = -\frac{1}{\frac{2}{3}} = -\frac{3}{2}\)

Answer:

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