Question

Match each pair of points to the equation of the line that is parallel to the line passing through the points.
Tiles
B(5, 2) and C(7, -5)
y = -0.5x − 3
D(11, 6) and E(5, 9)
y = -3.5x − 15
F(-7, 12) and G(3, -8)
y = 5x + 19
H(4, 4) and I(8, 9)
y = 1.25x + 4
J(7, 2) and K(-9, 8)
L(5, -7) and M(4, -12)

Answer 1

If we identify the lines by ...
  1. y = -0.5x -3
  2. y = -3.5x -15
  3. y = 5x +19
  4. y = 1.25x +4

Then the matches are ...
  BC - 2
  DE - 1
  FG - none
  HI - 4
  JK - none
  LM - 3

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Whenever there is a lot of repetitive math to do, I usually find it easier to let a calculator or spreadsheet do it. Here, the graphing calculator is computing the slope between the points. The slopes of parallel lines are the same.