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 isy = 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.
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 
How to convert a linear equation from standard form to slope-intercept form and graphing? How to linear equations given in general form? Slope and intercept of a linear equation
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