Question

1. are the lines in the graph

parallel
perpendicular
neither

Explanation:

Step1: Find the slope of the blue line

Use the two - point formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\). For the blue line, two points are \((- 0.5,0)\) and \((0,2)\). Then \(m_1=\frac{2 - 0}{0-(-0.5)} = 4\).

Step2: Find the slope of the red line

For the red line, two points are \((0,0)\) and \((0.5,2)\). Then \(m_2=\frac{2 - 0}{0.5-0}=4\).

Step3: Determine the relationship between the lines

Since \(m_1 = m_2 = 4\), parallel lines have equal slopes.

Answer:

Parallel