Graphing Linear Equations
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Graphing Linear Equations. Linear Equation: an equation whose graph forms a line. . Linear means of a line. So a linear equation is the equation of a line. In linear equations, all variables are taken to the first power. is linear. is not. Why?.

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Graphing Linear Equations

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Graphing linear equations

Graphing Linear Equations


Graphing linear equations

Linear Equation: an equation whose graph forms a line.

Linear means of a line. So a linear equation is the equation of a line.

In linear equations, all variables are taken to the first power.

is linear.

is not.

Why?


Graphing linear equations

Suppose you were asked to graph the solution set of the linear equation,

You could start by creating a table of values.


Graphing linear equations

Choose any number to use as x or y . . .


Graphing linear equations

. . . and substitute the number for the variable.

Then calculate to find,


Graphing linear equations

Continue, until you have 3 sets of x and y values.


Graphing linear equations

Continue, until you have 3 sets of x and y values.


Graphing linear equations

With your table completed for three sets of values, you are ready to graph the line.


Graphing linear equations

When x is 0, y is 3, so plot the point, (0, 3).


Graphing linear equations

And when x is 3, y is 0, so plot the point, (3, 0).


Graphing linear equations

And finally, when x is -3, y is 6, so plot the point, (-3, 6).


Graphing linear equations

If they do line up, you just need to connect the dots.

If the three points do not line up, you need to find your mistake.


Graphing linear equations

This is the graph of the linear equation,


Graphing linear equations

Create a table of values for each equation, and graph it on grid paper:

1.

2.

3.

4.


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