# Three Ways How to Graph a Line

Graphing a line in the xy-axis is one of the most basic skills in algebra that you should learn. In this lesson, we are going to go over **three methods** that are commonly used. Learn each method and you’ll be able to decide which one works better depending on the given problem.

I have created separate lessons for each. Click the link at the bottom of each method.

**Method 1: Constructing a Table of Values**

This is the most straightforward method of graphing a line. What we need to do is to select some values of x and then evaluate those values in the given equation to get the corresponding values of y. Finally, plot those points in the XY-axis, and connect them with a straight edge.

**Method 2: Using the Slope and y-intercept (y = mx+b)**

The first step is to make sure that the equation of the line is in the Slope-Intercept Form, that is [latex]y=mx+b[/latex].

- Start by plotting the y-intercept which is [latex](0,b)[/latex].
- Find another point using the slope [latex]m[/latex] with the y-intercept at the reference point.
- Connect the two points with a ruler.

**Method 3: Connecting the x and y-Intercepts**

Remember, we only need two points to graph a line. With that idea, we take advantage of the two “convenient” points which can easily be solved algebraically from the equation of the line; namely, the x-intercept [latex](x,0)[/latex] and y-intercept [latex](0,y)[/latex].

- To solve for the x-intercept, let [latex]y=0[/latex] then solve for [latex]x[/latex].
- To solve for the y-intercept, let [latex]x=0[/latex] then solve for [latex]y[/latex].
- Connect the two points using a ruler.

**You may also be interested in these related math lessons or tutorials:**

Graphing a Line using Slope and y-intercept

Graphing a Line using Table of Values

Graphing a Line Using X and Y intercepts