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xXAngelaXx

The equation of the line on the graph below is a direct variation equation. What is the constant of variation?

  • one year ago
  • one year ago

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  1. gabriel11
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    The graph will have a straight line that passes through the origin (0,0). Direct variation means that as one variable increases the other increases in a proportional way. For example if x doubles then y doubles also though the actual increase may be different depending on the steepness of the line. Direct variation can also be negative. If a straight line slopes to the left then we say that y varies directly as the negative of x. In general then we should say that y varies directly as the absolute value of x. or y ~ |x|. If the line is a curve then even though y increases as x increases the variation is not direct but we may use the word direct in a different way. For example a parabola that shows y increasing as x increases and which passes through the origin would have the equation y = kx^2 (constant times x squared) and we would say that y varies directly as the square of x. But for your original question simple directly variation produces a straight line through the origin.

    • one year ago
  2. xXAngelaXx
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    A.\[\frac{ 1 }{ 4 }\] B.\[\frac{ 1 }{ 2 }\] C.\[\frac{ 3 }{ 4 }\] D. 1

    • one year ago
  3. gabriel11
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    b

    • one year ago
  4. xXAngelaXx
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    Thank you! ^-^

    • one year ago
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