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 :

3x = 4y – 7

Solution :

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

3x = 4y – 7

4y = 3x + 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.