 # 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.

How to graph a line given in slope-intercept form? 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 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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