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: Calculate the slope of the blue line

Take two points on the blue line, say \((0, - 1)\) and \((1,2)\). The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). So \(m_{blue}=\frac{2-(-1)}{1 - 0}=3\).

Step3: Calculate the slope of the green line

Take two points on the green line, say \((2,0)\) and \((3,3)\). Using the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\), we get \(m_{green}=\frac{3 - 0}{3 - 2}=3\).

Answer:

Parallel