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.