To find an equation connecting x and y in direct proportionality, we start by defining the relationship between y and a, given that y is directly proportional to a. This relationship can be expressed as:
\[y = k \times a\]
where k is the constant of proportionality.
Given that y = 20 when x = 2, we can substitute these values into the equation to solve for k:
\[20 = k \times 2\]
\[k = 10\]
Now that we have found the value of k, we can write the equation connecting x and y:
\[y = 10x\]
Therefore, the equation connecting x and y in this case is \[y = 10x\]. This equation represents the direct proportionality between y and x, where y is ten times the value of x.
