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Answer:

  • See below and attached

Explanation:

1. There are infinite number of lines going from only one point (2, 5)

  • No definite solution for line A.

2. This is a proportional relationship, since line passes through the origin. The slope is -3.

The line B is:

  • y = -3x

3. Points (-3, -2) and (3, 10)

The slope:

  • m = (10 + 2)/(3 + 3) = 2

The y - intercept:

  • 10 = 2*3 + b ⇒ b = 4

The line C is:

  • y = 2x + 4

4. The rate of change is m = 2.5

The y- intercept:

  • 1 = 2*2.5 + b ⇒ - 4

The line D is:

  • y = 2.5x - 4

5. Line E has a slope of 4, no sufficient info to conclude.

  • y = 4x + b, with any value of b

6. Line F has m = -3/4 and passes through (8, -1).

The y -intercept is:

  • -1 = 8(-3/4) + b ⇒ b = 5

The line F is:

  • y = -3/4x + 5

7. G is not a linear relationship as the function increases exponentially with common ratio of 3.

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