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 & Perpendicular Lines 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:
Solution:
a) perpendicular
Solution:
a) parallel
Solution:
a) x + 3y = 0
Solution:
a) x + 6y = 31
Solution:
a) 5x + 8y = -20