Everything we know about linear equations applies to how we represent linear functions.
Jenn, Founder Calcworkshop®, 15+ Years Experience (Licensed & Certified Teacher)
So what is a linear function?
Using the definition of a linear function, it is a linear equation in one variable, where the variable is raised to the first power.
And all linear functions are written as equations that are characterized by their slope and y-intercept, as Lumen Learning nicely states.
In other words, a linear function behaves just like an equation in slope-intercept form.
So how do we graph and write equations of linear functions?
To graph a linear function we first change f(x) to y, and then using the exact same steps for how we graph an equation in slope intercept form using our y-intercept and slope.
To write an equation of a linear function we first identify the two ordered pairs and follow the same steps for writing equations of lines using point slope form.
I am confident that you will quickly agree that linear functions are as easy as graphing and writing equations of lines!
Together we will learn how to represent, graph and write equations of linear functions, and use linear functions to solve word problems involving distance, rate, and time.
Linear Function Defined – Video
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