# What is direct variation in algebra?

**Direct Variation**. Directly Proportional. A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first. If b is directly proportional to a, the equation is of the form b = ka (where k is a constant).

Similarly, how do you find the direct variation?

Since k is constant (the same for every point), we can **find** k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y **varies** directly as x, and y = 6 when x = 2, the constant of **variation** is k = = 3. Thus, the equation describing this **direct variation** is y = 3x.

Subsequently, question is, what is the definition of direct variation? **Definition of direct variation**. 1 : mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. 2 : an equation or function expressing **direct variation** — compare inverse **variation**.

Similarly, which is an example of a direct variation?

Some **examples** of **direct variation** problems in real life: The number of hours you work and the amount of your paycheck. The amount of weight on a spring and the distance the spring will stretch.

What is a variation in math?

**Variation** problems involve fairly simple relationships or formulas, involving one variable being equal to one term. Another form of **variation** is the inverse **variation** which works when there is a relationship between two variables in which the product is a constant.