# What is a linear function equation?

## What is a linear function equation?

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.

## What is a linear function simple definition?

1 : a mathematical function in which the variables appear only in the first degree, are multiplied by constants, and are combined only by addition and subtraction.

**How do you write an equation for a linear function?**

A linear function is represented by the equation y = mx + b where:

- y = the y-coordinate.
- m = the slope of the line, or how steep it is.
- x = the x-coordinate.
- b = the y-intercept, or where the line crosses the y-axis on a graph.

### What is linear function with example?

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x – 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x – 2.

### What is not a linear function equation?

Linear and Nonlinear Functions A nonlinear function is a function whose graph is NOT a line. Its equation is of the form f(x) = ax + b. Its equation can be in any form except of the form f(x) = ax + b. Its slope is constant for any two points on the curve.

**What is linear mean in math?**

An equation that makes a straight line when it is graphed. Often written in the form y = mx+b.

#### Which equations is not a linear function?

An example of a nonlinear function is y = x^2. This is nonlinear because, although it is a polynomial, its highest exponent is 2, not 1.

#### How do you find a linear equation?

The slope-intercept form of a linear equation is y = mx + b. In the equation, x and y are the variables. The numbers m and b give the slope of the line (m) and the value of y when x is 0 (b). The value of y when x is 0 is called the y-intercept because (0,y) is the point at which the line crosses the y-axis.