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Which of the following also represent the function y = \frac{1}{2}x - 5 A B y is twice x decreased by 5 C D...

Which of the following also represent the function y = \frac{1}{2}x - 5
A
B y is twice x decreased by 5
C
D y is five less than half x
E

Answer

  1. A: The graph should represent the line y = \frac{1}{2}x - 5. The line should have a slope of 1/2 and a y-intercept of -5.

  2. B: Incorrect. 'y is twice x decreased by 5' translates to y = 2x - 5, which is not the same as y = \frac{1}{2}x - 5.

  3. C: Check the table of values. For x = 2, y should be -4; for x = 4, y should be -3; for x = 6, y should be -2. None of these satisfy y = \frac{1}{2}x - 5.

  4. D: Correct. 'y is five less than half x' translates to y = \frac{1}{2}x - 5.

  5. E: Check the table of values. For x = -2, y should be 6; for x = 0, y should be 5; for x = 2, y should be 4. None of these satisfy y = \frac{1}{2}x - 5.

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