# Graph Linear Equations

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In this lesson, we will learn

- how to graph a linear equation when the equation is given in slope-intercept form.
- how to graph a linear equation when the equation is given in general form.

Other methods used to graph linear equations are by plotting points and using *x*-intercept and *y*-intercept.

## Graph Linear Equations in Slope-Intercept Form

When we are given a slope-intercept form of a linear equation, we can use the slope and *y*-intercept to graph the equation.

The

slope-intercept form of an equation is

*y* = *mx* + *b, *where *m* is the slope of the line and *b* is the *y*-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.

This video shows how to graph a line given in slope-intercept form.

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.

## Graph Linear Equations in General Form

The equation

*y* =

*mx**+ b* gives us information on the slope and the

*y*-intercept. If the equation of a line is given in a different form, we rewrite it in the form

*y* =

*mx**+ b *in order to get the slope and

*y*-intercept of the line.

* ***Example*** : *

Rewrite the following equation in slope-intercept form to determine the slope and *y*-intercept :

3*x* = 4*y* – 7

* ***Solution*** : *

Rewrite 3*x* = 4*y* – 7 in the form *y* = *mx**+ c *

3*x* = 4*y* – 7

4*y* = 3*x* + 7

*y* =

The slope is and the *y*-intercept is

This video shows how to convert a linear equation from standard form to slope-intercept form and graphing.

The following video shows how to linear equations given in general form.

The following video explains the slope and intercept of a linear equation.

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