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Calculate Line Equation and Find Midpoints Using Given Coordinates

This guide provides a step-by-step approach to writing the equation of a line parallel to a specified line (8x - 2y = 6) that passes through a designated point (5, -2). Additionally, it demonstrates how to compute midpoints between two ordered pairs using the midpoint formula, employing average calculations for the x and y coordinates. It includes examples with various ordered pairs to enhance understanding and application of the concepts.

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Calculate Line Equation and Find Midpoints Using 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. Midpoint Given 2 ordered pairs, it’s the AVG of the x’s and AVG of the y’s.

  3. Midpoint Formula

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

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

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

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

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

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

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

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