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Parallel & Perpendicular Lines Test
About Parallel & Perpendicular 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 & Perpendicular Lines Test:




#1:


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


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


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#2:


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


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


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#3:


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


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


y  =  -1x  -  2
  3

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#4:


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


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


y  =  -1x  -  2
  6

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#5:


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


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


y  =  8x  -  1
 5

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Written Solutions:




#1:


Solution:


a) perpendicular


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#2:


Solution:


a) parallel


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#3:


Solution:


a) x + 3y = 0


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#4:


Solution:


a) x + 6y = 31


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#5:


Solution:


a) 5x + 8y = -20


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