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  B (rate of change), D (y-intercept)

Step-by-step explanation:

a) The rate of change is found by solving for y. It is the x-coefficient:

  4y = -x +12

  y = -1/4x +3 . . . . divide by 4

The rate of change is -1/4.

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b) The rate of change can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (10 -4)/(2 -(-2)) = 6/4 = 3/2

The rate of change is 3/2.

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c) The rate of change can be found by counting grid squares. The line goes down 1 square for each square to the right. The rate of change is ...

  m = rise/run = -1/1 = -1

The rate of change is -1.

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d) The rate of change is 0.5, the amount paid per box.

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Of the rates -1/4, 3/2, -1, 0.5, the largest rate of change is 3/2 in relationship B.

a) The y-intercept is the constant in the slope-intercept form equation: +3.

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b) The y-intercept can be found from the point-slope form equation using the slope we found.

  y -4 = 3/2(x +2)

  y = 3/2x +3 +4

  y = 3/2x + 7

The y-intercept is 7.

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c) The y-intercept is 4, where the line crosses the y-axis.

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d) The y-intercept of a proportion is 0.

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Of the y-intercepts 3, 7, 4, 0, the least y-intercept is 0, in relationship D.

a

step-by-step explanation: