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Question

Describe Graphing Linear Equations


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Solution

The graph of a linear equation in two variables is a line (that's why they call it linear ).

If you know an equation is linear, you can graph it by finding any two solutions

(x1,y1) and (x2,y2)

plotting these two points, and drawing the line connecting them.

For example, equation x+2y=7

find two solutions, corresponding to the x -intercepts and y -intercepts of the graph, by setting first x=0 and then y=0

When x=0 we get:

0+2y=7y=3.5

When y=0 we get:

x+2(0)=7x=7

So the two points are (0,3.5) and (7,0)

Plot these two points and draw the line connecting them.


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