Graphing Linear Equations Using x-y Tables

Linear Equation in Two Variables an equation whose graph forms a line. In linear equations, the variables are taken to the first power. is linear. is not. Why?

Suppose you were asked to graph the solution set of the linear equation, You could start by creating a table of values.

Choose any number to substitute for x... Let’s try x = 0.

. . . substitute the number for the variable. Solve for y & get,

Choose two more values for x and solve for their y values.

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

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

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

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

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

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(s).

This is the graph of the linear equation,

Create a table of values for each equation, and graph it on grid paper: 1. 2. 3. 4.