Find the equation of direct variation, given that y varies directly with x. y is 8 when x is 4

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

Step 1: Understand the problem. The problem states that y varies directly with x. This means that y = kx for some constant k.

Step 2: Use the given values to find the constant of variation. We know that when y is 8, x is 4. So we can substitute these values into the equation to find k:

8 = k * 4

Step 3: Solve for k. Divide both sides of the equation by 4 to isolate k:

k = 8 / 4 = 2

Step 4: Write the equation of direct variation. Now that we know k, we can write the equation:

y = 2x

So, the equation of direct variation is y = 2x.