# What is a linear function in algebra?

**Linear functions**are those whose graph is a straight line. A

**linear function**has the following form. y = f(x) = a + bx. A

**linear function**has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

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Also question is, what are examples of linear functions?

For **example**, the **function** C = 2 * pi * r is a **linear function** because only the C and r are real variables, with the pi being a constant. The second item is that none of the variables can have an exponent or power to them. They cannot be squared, cubed, or anything else.

Also, how do you state a linear function? **There are three standard forms for linear functions y = f(x):**

- f(x) = mx + b (The "slope-intercept" form),
- y - y
_{o}= m(x - x_{0}) or, equivalently, f(x) = y_{0}+ m(x - x_{0}) (The "point-slope" or "Taylor" form), and. - Ax + By = C (The "general form") which defines y implicitly as a function of x as long as B 0.

Beside above, what is the formula for a linear function?

The formula **y = mx + b** is said to be a linear function. That means the graph of this function will be a straight line on the (x, y) plane.

How do you tell if an equation is linear or nonlinear?

Using an **Equation** Simplify the **equation** as closely as possible to the form of y = mx + b. Check to see **if** your **equation** has exponents. **If** it has exponents, it is **nonlinear**. **If** your **equation** has no exponents, it is **linear**.