Question

score: 18/19 answered: 18/19 question 19 determine whether the lines are parallel, perpendicular, or neither parallel nor perpendicular. x = 3 x = -4 ○ parallel ○ perpendicular ○ neither

Explanation:

Step1: Analyze the line \(x = 3\)

The line \(x = 3\) is a vertical line. A vertical line has an undefined slope, and it consists of all points where the \(x\)-coordinate is 3, regardless of the \(y\)-coordinate.

Step2: Analyze the line \(x=-4\)

The line \(x = - 4\) is also a vertical line. It consists of all points where the \(x\)-coordinate is - 4, regardless of the \(y\)-coordinate.

Step3: Determine the relationship between the two lines

Two vertical lines are parallel to each other because they have the same slope (undefined slope) and will never intersect.

Answer:

A. parallel