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Find the Equation of a Parallel Line and Calculate Midpoints of Given Coordinates

This worksheet provides exercises on finding the equation of a line parallel to a given standard form, specifically 8x - 2y = 6, and passing through the point (5, -2). Additionally, it includes several problems that involve calculating the midpoint of given ordered pairs. Students will practice finding midpoints using the midpoint formula and determining unknown endpoints when given midpoints and one endpoint. The partitioning segments section challenges students to find specific points along a line segment in various ratios.

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Find the Equation of a Parallel Line and Calculate Midpoints of Given Coordinates

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  1. Warm up Write the equation of the line: Parallel to 8x – 2y = 6 and goes through (5, -2)

  2. Review HW

  3. Midpoint Given 2 ordered pairs, it’s the AVG of the x’s and AVG of the y’s.

  4. Midpoint Formula

  5. Find the midpoint. (.5, 5.5) 1. (3, 7) and (-2, 4) 2. (5, -2) and (6, 14) (5.5, 6)

  6. Find the midpoint. 3. (3, -9) and (14, 16) 4. (12, 17) and (-7, 9) (8.5, 3.5) (2.5, 13)

  7. Find the midpoint. 5. (2, 3)

  8. Find the midpoint. 6. (1.5, 4)

  9. Given the midpt and one endpt, find the other endpt. 7. Midpt (3, -6) Endpt (7, -3) (-1, -9)

  10. Given the midpt and one endpt, find the other endpt. 8. Midpt (-1, 2) Endpt (3, 0) (-5, 4)

  11. Given the midpt and one endpt, find the other endpt. 9. Midpt (-4, 6) Endpt (2, 1) (-10, 11)

  12. Midpoint Worksheet Classwork

  13. Partition Line Segments(1 Dimension)

  14. Partition – 1 Dimension • A is at 1, and B is at 7. • Find the point, T, so that T partitions A to B in a 2:1 ratio.

  15. Partition – 1 Dimension • A is at -6 and B is at 4. • Find the point, T, so that T is A to B in a 2:3 ratio.

  16. Partitioning Segments Worksheet Homework

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