There are several methods to graph a linear equation.

In this lesson, we will learn

- how to graph linear equations by plotting points.
- how to graph linear equations by finding the
*x*-intercept and*y*-intercept. - how to graph linear equations using the slope and
*y*-intercept.

Related Topics:

More Algebra Lessons

More Geometry Lessons

Algebra Worksheets

Algebra Games

*Example :** *

Draw the line with equation *y* = 2*x* – 3

* Solution*

Try to choose values that will give whole numbers to make it easier to plot.

** Step 1** : Let *x* = 0

y= 2(0) – 3

y= – 3

** Step 2** : Let *x* = 2

y =2(2) – 3

y= 1

**Step 3 **: Plot the two points on the Cartesian plane

**Step 4 **: Draw a straight line passing through the two points

This video shows how to use a t-table to graph linear equations

This following video shows how to graph a linear equation by plotting points.

The *x*-intercept is where the line crosses the *x*-axis. At this point, the *y*-coordinate is 0.

The* y*-intercept is where the line crosses the* y*-axis. At this point, the* x*-coordinate is 0.

When an equation is written in general form it is easier to graph the equation by finding the intercepts.

Step 1: Find the *x*-intercept, let *y* = 0 then substitute 0 for *y* in the equation and solve for *x*

Step 2: Find the *y*-intercept, let *x* = 0 then substitute 0 for *x* in the equation and solve for *y*

Step 3: Plot the intercepts, label each point, and draw a straight line through these points.

This video shows how to find intercepts and use intercepts to graph linear equation.

This video shows how to graph Linear Functions by Finding the X-Intercept and Y-Intercept of the Function.

y=mx+b,wheremis the slope of the line andbis they-intercept.

Step 1: Find the *y*-intercept and plot the point.

Step 2: From the *y*-intercept, use the slope to find the second point and plot it.

Step 3: Draw a line to connect the two points.

In this video, we will learn about the slope intercept formula. We look at what slope and intercept mean as well as how to graph the equation.

This video explains how to graph a linear equation given in slope intercept form.

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