Question

Each line represents a proportional relationship. Write an equation for each line. Show your work.

Answer 1

Answer:

The answer is in the picture. I hope it is helpful.

Answer 2

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Answer:

  a: y = x

  b: y = 2/3x

Step-by-step explanation:

A proportional relationship is described by the equation ...

  y = kx

The value of the constant k can be found from any (x, y) pair:

  k = y/x . . . . . divide both sides of the above equation by x

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Line 'a' goes through the point (1, 1), so we have ...

  k = 1/1 = 1

  y = x . . . . . . . the coefficient 1 is not shown. Equation for line a.

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Line 'b' goes through the point (3, 2), so we have ...

  k = 2/3

  y = 2/3x . . . . . . Equation for line b.