discussion 3
|
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:
- 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.
- 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 = ½ x + 3; (-2, 1) | y = ½ x + 3; (-2, 1) |
| 2 | y = -2x – 4; (1, 3) | y = -2x – 4; (1, 3) |
| 3 | y = ¼ x – 2; (8, -1) | y = ¼ x – 2; (8, -1) |
| 4 | y = -x + 3; (-2, -2) | y = -x + 3; (-2, -2) |
| 5 | y = -⅓ x – 4; (-6, -3) | y = -⅓ x – 4; (-6, -3) |
| 6 | y = -½ x + 1; (4, 2) | y = -½ x + 1; (4, 2) |
| 7 | y = ¾ x – 1; (4, 0) | y = ¾ x – 1; (4, 0) |
| 8 | y = 3x + 3; (1, 1) | y = 3x + 3; (1, 1) |
| 9 | y = -4x – 5; (0, -1) | y = -4x – 5; (0, -1) |
| 10 | y = -⅔ x + 2; (9, -3) | y = -⅔ x + 2; (9, -3) |
| 11 | y = 2x – 1; (2, -2) | y = 2x – 1; (2, -2) |
| 12 | y = -3x – 6; (-1, 5) | y = -3x – 6; (-1, 5) |
| 13 | y = x + 4; (-7, 1) | y = x + 4; (-7, 1) |
| 14 | y = ¾ x – 1; (3, 1) | y = ¾ x – 1; (3, 1) |
| 15 | y = 3x + 3; (-1, -1) | y = 3x + 3; (-1, -1) |
| 16 | y = -4x – 5; (-1, 0) | y = -4x – 5; (-1, 0) |
| 17 | y = -⅔ x + 2; (6, 3) | y = -⅔ x + 2; (6, 3) |
| 18 | y = 2x – 1; (-2, 2) | y = 2x – 1; (-2, 2) |
| 19 | y = -3x – 6; (-3,2) | y = -3x – 6; (-3,2) |
| 20 | y = x + 4; (1, -7) | y = x + 4; (1, -7) |
| 21 | y = ½ x + 3; (4, -1) | y = ½ x + 3; (4, -1) |
| 22 | y = -2x – 4; (2, -3) | y = -2x – 4; (2, -3) |
| 23 | y = -¼ x – 2; (-8, 1) | y = -¼ x – 2; (-8, 1) |
| 24 | y = -x + 3; (2, 2) | y = -x + 3; (2, 2) |
| 25 | y = -⅓ x – 4; (3, 1) | y = -⅓ x – 4; (3, 1) |
| 26 | y = -½ x + 1; (-2, 3) | y = -½ x + 1; (-2, 3) |
| 27 | y = ¼ x + 1; (-4, 3) | y = ¼ 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 = ½ x + 3; (-6, -7) | y = ½ x + 3; (-6, -7) |
| 31 | y = -2x + 5; (3,0) | y = -2x + 5; (3,0) |
| 32 | y = -⅓ x+ 3; (6, -4) | y = -⅓ x+ 3; (6, -4) |
| 33 | y = ⅔ x + 2; (6, -3) | y = ⅔ 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 = -¾ x – 1; (12, 5) | y = -¾ x – 1; (12, 5) |
| 39 | y = ⅔ x + 2; (-6, 3) | y = ⅔ x + 2; (-6, 3) |
| 40 | y = x; (0,0) | y = x; (0,0) |
| 41 | y = -⅔ x + 2; (3, 3) | y = -⅔ 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 = ½ x – 3; (3, 1) | y = ½ x – 3; (3, 1) |
- 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:
- What does it mean for one line to be parallel to another?
- 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.):
- Origin
- Ordered pair
- X- or y-intercept
- Slope
- Reciprocal
Your initial post should be 150-250 words in length.
