Assignemnt: Parallel and Perpendicular
• Read the following instructions in order to complete this discussion, and review the example of how to complete the math required for this assignment:
o Given an equation of a line, find equations for lines parallel or perpendicular to it going through specified points. Find the appropriate equations and points from the table below. Simplify your equations into slope-intercept form.
o Use your assigned number to complete.
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If your assigned number is:
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Write the equation of a line parallel to the given line and passing through the given point
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Write the equation of a line perpendicular to the given line and passing through the given point.
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1
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y = ½ x + 3; (-2, 1)
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y = ½ x + 3; (-2, 1)
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2
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y = -2x - 4; (1, 3)
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y = -2x - 4; (1, 3)
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3
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y = ¼ x - 2; (8, -1)
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y = ¼ x - 2; (8, -1)
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4
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y = -x + 3; (-2, -2)
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y = -x + 3; (-2, -2)
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5
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y = -? x - 4; (-6, -3)
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y = -? x - 4; (-6, -3)
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6
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y = -½ x + 1; (4, 2)
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y = -½ x + 1; (4, 2)
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7
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y = ¾ x - 1; (4, 0)
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y = ¾ x - 1; (4, 0)
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8
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y = 3x + 3; (1, 1)
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y = 3x + 3; (1, 1)
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9
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y = -4x - 5; (0, -1)
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y = -4x - 5; (0, -1)
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10
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y = -? x + 2; (9, -3)
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y = -? x + 2; (9, -3)
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11
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y = 2x - 1; (2, -2)
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y = 2x - 1; (2, -2)
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12
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y = -3x - 6; (-1, 5)
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y = -3x - 6; (-1, 5)
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13
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y = x + 4; (-7, 1)
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y = x + 4; (-7, 1)
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14
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y = ¾ x - 1; (3, 1)
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y = ¾ x - 1; (3, 1)
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15
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y = 3x + 3; (-1, -1)
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y = 3x + 3; (-1, -1)
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16
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y = -4x - 5; (-1, 0)
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y = -4x - 5; (-1, 0)
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17
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y = -? x + 2; (6, 3)
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y = -? x + 2; (6, 3)
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18
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y = 2x - 1; (-2, 2)
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y = 2x - 1; (-2, 2)
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19
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y = -3x - 6; (-3,2)
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y = -3x - 6; (-3,2)
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20
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y = x + 4; (1, -7)
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y = x + 4; (1, -7)
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21
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y = ½ x + 3; (4, -1)
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y = ½ x + 3; (4, -1)
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22
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y = -2x - 4; (2, -3)
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y = -2x - 4; (2, -3)
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23
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y = -¼ x - 2; (-8, 1)
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y = -¼ x - 2; (-8, 1)
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24
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y = -x + 3; (2, 2)
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y = -x + 3; (2, 2)
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25
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y = -? x - 4; (3, 1)
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y = -? x - 4; (3, 1)
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26
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y = -½ x + 1; (-2, 3)
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y = -½ x + 1; (-2, 3)
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27
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y = ¼ x + 1; (-4, 3)
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y = ¼ x + 1; (-4, 3)
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28
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y = 5x - 1; (5,-8)
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y = 5x - 1; (5,-8)
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29
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y = x + 7; (-7,1)
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y = x + 7; (-7,1)
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30
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y = ½ x + 3; (-6, -7)
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y = ½ x + 3; (-6, -7)
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31
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y = -2x + 5; (3,0)
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y = -2x + 5; (3,0)
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32
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y = -? x+ 3; (6, -4)
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y = -? x+ 3; (6, -4)
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33
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y = ? x + 2; (6, -3)
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y = ? x + 2; (6, -3)
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34
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y = 2x; (-3,-3)
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y = 2x; (-3,-3)
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35
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y = 5; (4,4)
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y = 5; (4,4)
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36
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y = -x + 7; (-7,-1)
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y = -x + 7; (-7,-1)
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37
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y = -5x - 1; (5,9)
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y = -5x - 1; (5,9)
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38
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y = -¾ x - 1; (12, 5)
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y = -¾ x - 1; (12, 5)
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39
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y = ? x + 2; (-6, 3)
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y = ? x + 2; (-6, 3)
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40
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y = x; (0,0)
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y = x; (0,0)
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41
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y = -? x + 2; (3, 3)
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y = -? x + 2; (3, 3)
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42
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y = 2x + 3; (-2, -1)
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y = 2x +3; (-2,-1)
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43
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y = -3x + 1; (6,1)
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y = -3x + 1; (6,1)
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44
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y = x - 5; (-2,10)
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y = x - 5; (-2,10)
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45
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y = ½ x - 3; (3, 1)
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y = ½ x - 3; (3, 1)
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• Discuss the steps necessary to carry out each activity. Describe briefly what each line looks like in relation to the original given line.
• Answer these two questions briefly in your own words:
o What does it mean for one line to be parallel to another?
o What does it mean for one line to be perpendicular to another?
• Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):
o Origin
o Ordered pair
o X- or y-intercept
o Slope
o Reciprocal.