The parallel line would be y = -1. The perpendicular line would be x = 3.
In order to find these, we must first solve the equation for y.
y - 2 = 0
y = 2.
Now that we have this, we know that the graph is that of a horizontal line. horizontal lines have 0 slope. To find the parallel line, we need to make another horizontal line. All lines that are horizontal are written in y = a number form. Since the y in the ordered pair is -1, we know the parallel line is y = -1.
As for the perpendicular line, we know that they are the opposite. Since we have y = a number for parallel, we know the opposite is x = a number for perpendicular. Since the x value in the ordered pair is 3, we know the line is x = 3.
