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
#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:
Solutions:
a) perpendicular
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#2:
Solutions:
a) parallel
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#3:
Solutions:
a) x + 3y = 0
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#4:
Solutions:
a) x + 6y = 31
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#5:
Solutions:
a) 5x + 8y = -20
