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Which ordered pairs represent points on the graph of this equation?

Which ordered pairs represent points on the graph of this equation? Select all that apply.
y = (6/5)x
(-3, 7) (5, -2) (-5, -6) (-6, 3) (6, 4) (3, -5)

Answer

To determine which ordered pairs lie on the graph of the equation y = (6/5)x, substitute the x-value of each pair into the equation and check if the resulting y-value matches the y-value in the pair.

  1. (-3, 7): y = (6/5)(-3) = -18/5 ≠ 7. Not on the graph.
  2. (5, -2): y = (6/5)(5) = 6 ≠ -2. Not on the graph.
  3. (-5, -6): y = (6/5)(-5) = -6. Matches. On the graph.
  4. (-6, 3): y = (6/5)(-6) = -36/5 ≠ 3. Not on the graph.
  5. (6, 4): y = (6/5)(6) = 36/5 ≠ 4. Not on the graph.
  6. (3, -5): y = (6/5)(3) = 18/5 ≠ -5. Not on the graph.

The only ordered pair that represents a point on the graph is (-5, -6).

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