Question

Identify the relationship between the graphs of

these two equations.
2y = 6x + 5
6y=-2x + 1
Click on the correct answer.
parallel
perpendicular
neither

Answer 1

Perpendicular

This is because lines that are perpendicular have slopes that are the negative reciprocals of each other (for example: 5 and -1/5)


When you simplify each of the equations given, the equations are:

Y=3x + 5/2

Y=-1/3x + 1/6


Since the lines are are the form y=mx + b, and ‘m’ represents the slopes, the two slopes are 3 and -1/3 which are negative reciprocals of each other, therefore the lines are perpendicular