Parameter Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

medium
In the family of lines y=mx+3y = mx + 3, what role does mm play?

Solution

  1. 1
    The equation y=mx+3y = mx + 3 represents infinitely many lines, all passing through (0,3)(0, 3).
  2. 2
    Each value of mm gives a different line with a different slope.
  3. 3
    mm is a parameter—it labels which specific member of the family we mean.

Answer

mm is a parameter that determines the slope of each line in the family.
A parameter is a constant that characterizes a family of equations. Unlike a variable (which changes within an equation), a parameter selects which equation from the family.

About Parameter

A parameter is a quantity in a mathematical expression that remains constant for a particular case but can change between cases. For example, in y = mx + b, the slope m and intercept b are parameters — each choice of m and b gives a different line.

Learn more about Parameter →

More Parameter Examples

Example 2 hard

For what value of the parameter [formula] does [formula] have the solution [formula]?

Example 3 medium

In the family of lines [formula], find the slope when the line passes through [formula].

Example 4 easy

In [formula], is [formula] a variable or a parameter?

Example 5 medium

The quadratic [formula] has a zero at [formula]. Find [formula].

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