Graphs of Linear Functions
Key Questions

For a linear function of the form
#f(x)=ax+b# ,#a# is the slope, and#b# is the#y# intercept.
I hope that this was helpful.

Answer:
See below
Explanation:
#f(x) =x:forall x in RR# Let's think for a moment about what this means.
"#f# is function of#x# that is equal to the value#x# for all real numbers#x# "The only way this is possible is if
#f(x)# is a straight line through the origin with a slope of#1# .In slope/intercept form:
#y =1x +0# We can visualise
#f(x)# from the graph below.graph{x [10, 10, 5, 5]}

The easiest way (In my opinion) to graph a linear function is to enter two points, and connect them.
For example, the function:
#f(x) = 5x+3#
First you choose two#x# value. I will choose#0# and#1# . Then you enter them in the function one by one:
#f(0) = 5*0+3 = 3#
=> There is a point#(0,3)# , that's part of the function.#f(1) = 5*1+3 = 8#
=> There is a point#(1,8)# , that's part of the function.Since any line can be represented by two points, you can graph a linear function (line) by connecting the two points.
I hope this helped.
Questions
Graphs of Linear Equations and Functions

Graphs in the Coordinate Plane

Graphs of Linear Equations

Horizontal and Vertical Line Graphs

Applications of Linear Graphs

Intercepts by Substitution

Intercepts and the CoverUp Method

Slope

Rates of Change

SlopeIntercept Form

Graphs Using SlopeIntercept Form

Direct Variation

Applications Using Direct Variation

Function Notation and Linear Functions

Graphs of Linear Functions

Problem Solving with Linear Graphs