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MAT 221 WEEK 3 DISCUSSION 1 Week 3 – Discussion 1 Parallel and Perpendicular â€¢ 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. If your assigned number is: Write the equation of a line parallel to the given line and passing through the given point. Write the equation of a line perpendicular to the given line and passing through the given point. 1 y = Â½ x + 3; (-2, 1) y = Â½ x + 3; (-2, 1) 2 y = -2x â€“ 4; (1, 3) y = -2x â€“ 4; (1, 3) 3 y = Â¼ x â€“ 2; (8, -1) y = Â¼ x â€“ 2; (8, -1) 4 y = -x + 3; (-2, -2) y = -x + 3; (-2, -2) 5 y = -â…“ x â€“ 4; (-6, -3) y = -â…“ x â€“ 4; (-6, -3) 6 y = -Â½ x + 1; (4, 2) y = -Â½ x + 1; (4, 2) 7 y = Â¾ x â€“ 1; (4, 0) y = Â¾ x â€“ 1; (4, 0) 8 y = 3x + 3; (1, 1) y = 3x + 3; (1, 1) 9 y = -4x â€“ 5; (0, -1) y = -4x â€“ 5; (0, -1) 10 y = -â…” x + 2; (9, -3) y = -â…” x + 2; (9, -3) 11 y = 2x â€“ 1; (2, -2) y = 2x â€“ 1; (2, -2) 12 y = -3x â€“ 6; (-1, 5) y = -3x â€“ 6; (-1, 5) 13 y = x + 4; (-7, 1) y = x + 4; (-7, 1) 14 y = Â¾ x â€“ 1; (3, 1) y = Â¾ x â€“ 1; (3, 1) 15 y = 3x + 3; (-1, -1) y = 3x + 3; (-1, -1) 16 y = -4x â€“ 5; (-1, 0) y = -4x â€“ 5; (-1, 0) 17 y = -â…” x + 2; (6, 3) y = -â…” x + 2; (6, 3) 18 y = 2x â€“ 1; (-2, 2) y = 2x â€“ 1; (-2, 2) 19 y = -3x â€“ 6; (-3,2) y = -3x â€“ 6; (-3,2) 20 y = x + 4; (1, -7) y = x + 4; (1, -7) 21 y = Â½ x + 3; (4, -1) y = Â½ x + 3; (4, -1) 22 y = -2x â€“ 4; (2, -3) y = -2x â€“ 4; (2, -3) 23 y = -Â¼ x â€“ 2; (-8, 1) y = -Â¼ x â€“ 2; (-8, 1) 24 y = -x + 3; (2, 2) y = -x + 3; (2, 2) 25 y = -â…“ x â€“ 4; (3, 1) y = -â…“ x â€“ 4; (3, 1) 26 y = -Â½ x + 1; (-2, 3) y = -Â½ x + 1; (-2, 3) 27 y = Â¼ x + 1; (-4, 3) y = Â¼ x + 1; (-4, 3) 28 y = 5x – 1; (5,-8) y = 5x – 1; (5,-8) 29 y = x + 7; (-7,1) y = x + 7; (-7,1) 30 y = Â½ x + 3; (-6, -7) y = Â½ x + 3; (-6, -7) 31 y = -2x + 5; (3,0) y = -2x + 5; (3,0) 32 y = -â…“ x+ 3; (6, -4) y = -â…“ x+ 3; (6, -4) 33 y = â…” x + 2; (6, -3) y = â…” x + 2; (6, -3) 34 y = 2x; (-3,-3) y = 2x; (-3,-3) 35 y = 5; (4,4) y = 5; (4,4) 36 y = -x + 7; (-7,-1) y = -x + 7; (-7,-1) 37 y = -5x – 1; (5,9) y = -5x – 1; (5,9) 38 y = -Â¾ x â€“ 1; (12, 5) y = -Â¾ x â€“ 1; (12, 5) 39 y = â…” x + 2; (-6, 3) y = â…” x + 2; (-6, 3) 40 y = x; (0,0) y = x; (0,0) 41 y = -â…” x + 2; (3, 3) y = -â…” x + 2; (3, 3) 42 y = 2x + 3; (-2, -1) y = 2x +3; (-2,-1) 43 y = -3x + 1; (6,1) y = -3x + 1; (6,1) 44 y = x – 5; (-2,10) y = x – 5; (-2,10) 45 y = Â½ x – 3; (3, 1) y = Â½ x – 3; (3, 1) â€¢ Discuss the steps necessary to carry out each activity. Describe briefly what each line looks like in relation to the original given line. â€¢ 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? â€¢ 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 Your initial post should be 150-250 words in length. Respond to at least two of your classmatesâ€™ posts by Day 7 in at least a paragraph. Make sure you choose people who donâ€™t have the same equations as you worked. D
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