**What is a Linear Function?**

A linear function, in its most basic form, is a function that can be graphed as a straight line. According to math experts at Columbia University, they are easy to work with and can be applied in many ways. (1) They are generally used to show data and how it changes, such as showing how something increases or decreases with time.

**Understanding Linear Functions**

Linear functions are equations that can be written in different forms or plotted on a graph, where they will appear as a straight line. However, they cannot be a vertical line. They can be a horizontal line, but it is more likely the linear function will appear as a slanted line on a graph.

#### How Do You Know if It’s a Linear Function?

There are a few ways to determine if a function is a linear function. The most common way is to rearrange the formula to slope-intercept form. If it can be put into slope-intercept form, it is a linear function.

#### What is the Formula for Linear Functions?

Linear functions are written as f(x)=mx+b. The letters m and b stand for constants, and the f(x) and (x) are variables. In a linear function, m would be the slope of the line and b would be the y-intercept of the line on the graph.

#### What is an Example of a Linear Function?

An example of a linear function would be f(x)=2x+3. In this example, the slope would be 2 while the y-intercept would be 3.

#### How Do You Graph Linear Functions?

One way to graph the linear function is to find the y-intercept, then use the slope to find another point on the graph and draw a line between them. Another is to solve the equation to find two different points on the graph, then plot them and draw a line between them.

#### How Do You Know Which Method to Use?

Use the method based on the type of information provided. If the linear function is in slope-intercept form, find the y-intercept and the slope to graph the function. If the linear function isn’t in slope-intercept form or one point is already known, use the other method.

#### How Can Graphing Linear Function Worksheets Help?

Functions worksheets allow students to learn more about the equations that can be linear functions, how to solve the equations, and how to graph linear functions.

#### What Worksheets are Available?

There are functions worksheets available that review drawing linear functions, drawing slopes, finding slopes, slope-intercept form, and more.

#### What are the Methods for Writing Linear Equations?

There are a couple of methods for writing linear equations. first method is to find one point, and the slope on a graph then put the information in an equation in slope-intercept form. Another is to use two points on the graph or points that are given to create the linear equation.

#### What Do You Need to Write Linear Equations?

To write a linear equation, you need a graph, two points that can be plotted on a graph, or one point along with a slope.

#### What Information Do You Look for in Word Problems?

In a word problem, look for two points that can be plotted on a graph or determine the y-intercept and the slope. If possible, go ahead and plot these on the graph to make it easier to see the function.

#### How Do You Solve Word Problems?

Solve word problems by finding the information needed then writing the equation. Plot the function if possible, to make sure the answer is correct.

**Graphing Linear Equations**

Graphing linear equations can be done doing two different methods.

**Graphing Linear Function Worksheets**

Graphing linear function worksheets have been designed to help students practice solving linear functions and learning how to graph them.

**Writing Linear Equations**

If a graph or two points are given, it is possible to write out the linear function using information from the graph.

**Word Problems for Linear Functions**

Word problems that involve linear functions can be solved by looking for the right information, then plotting it on a graph or using the information to create the equation.

**Cazoom Maths Linear Function Worksheets Are Easy to Understand**

Linear functions are considered easy to understand because they are just a straight line on a graph. Use the linear function worksheets available to learn how to write, solve, and plot linear functions to get a better understanding of how the work and be able to solve them easily in any format.

**Resource**

1. Columbia University http://www.columbia.edu/itc/sipa/math/linear.html