About Parallel Lines:

When we have two parallel lines, the slopes will be the same, but the y-intercepts will be different. When we have perpendicular lines, the product of the slopes will be -1. To determine if we have parallel or perpendicular lines, place each line in slope-intercept form and inspect the slopes.


Test Objectives
  • Demonstrate an understanding of parallel and perpendicular lines
  • Demonstrate the ability to determine if a pair of lines are parallel
  • Demonstrate the ability to determine if a pair of lines are perpendicular
Parallel Lines Practice Test:

#1:

Instructions: Determine if each pair of lines is parallel, perpendicular, or neither.

a) 7x + 2y = 10 : 4x - 14y = 42


#2:

Instructions: Determine if each pair of lines is parallel, perpendicular, or neither.

a) 2x - 5y = 0 : 6x - 15y = -30


#3:

Instructions: Write the standard form of the equation of the line described.

a) through (-3,1) : parallel to:

y  =  -1x  -  2
  3

#4:

Instructions: Write the standard form of the equation of the line described.

a) through (1,5) : parallel to:

y  =  -1x  -  2
  6

#5:

Instructions: Write the standard form of the equation of the line described.

a) through (4,-5) : perpendicular to:

y  =  8x  -  1
 5

Written Solutions:

#1:

Solutions:

a) perpendicular


#2:

Solutions:

a) parallel


#3:

Solutions:

a) x + 3y = 0


#4:

Solutions:

a) x + 6y = 31


#5:

Solutions:

a) 5x + 8y = -20