Given that y varies directly with x, find the equation of direct variation when x = 10 and y = 14.

Sure, here are the steps to find the equation of direct variation:

1. Understand the concept: If y varies directly with x, it means that the ratio of y to x is constant. This can be represented by the equation y = kx, where k is the constant of variation.

2. Substitute the given values: We know that when x = 10, y = 14. We can substitute these values into the equation to find the value of k. So, 14 = k * 10.

3. Solve for k: To find the value of k, we divide both sides of the equation by 10. This gives us k = 14/10 = 1.4.

4. Write the equation of direct variation: Now that we know the value of k, we can write the equation of direct variation as y = 1.4x.