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Which points are on a graph where y varies directly with x and y = 3 when x = -3?

User Leek
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In a direct variation, the ratio of y to x is constant. The constant of variation can be found by dividing y by x. Any point that lies on the line y = -x will satisfy the condition.

  • In a direct variation, the ratio of y to x is constant. Let's find the constant of variation using the given information.
  • When x = -3, y = 3. The constant of variation, represented as k, can be found by dividing y by x. So, k = y/x = 3/(-3) = -1.
  • Now that we know the constant of variation, we can find other points that satisfy the direct variation.
  • For any (x, y) that satisfy y varies directly with x, we have y = kx.
  • Substituting k = -1, we get: y = -x.
  • Therefore, any point (x, y) that lies on the line y = -x will satisfy the condition where y varies directly with x and y = 3 when x = -3.

User Alsami
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