Question

1. are the lines in the graph parallel perpendicular neither

Explanation:

Step1: Recall the condition for parallel lines

Parallel lines have the same slope.

Step2: Recall the condition for perpendicular lines

Perpendicular lines have slopes whose product is \(- 1\).

Step3: Calculate the slope of the red line

Using two points \((0,0)\) and \((1,3)\) on the red line, the slope \(m_1=\frac{3 - 0}{1-0}=3\).

Step4: Calculate the slope of the blue line

Using two points \((-2,2)\) and \((1,1)\) on the blue line, the slope \(m_2=\frac{1 - 2}{1-(-2)}=-\frac{1}{3}\).

Step5: Check the relationship between slopes

The product of the slopes \(m_1\times m_2=3\times(-\frac{1}{3})=- 1\).

Answer:

Perpendicular