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If the rule for a relation between two variables is given, then the graph of
the relation can be drawn by constructing a table
of values.
To plot a straight line graph we need to find the coordinates
of at
least two points that fit the rule.
Example 6
Plot the graph of y = 3x + 2.
Solution:
Construct a table and choose simple x values.







The table of values obtained after entering the values of y is as
follows:

Draw a Cartesian plane and plot the points. Then join the points
with a ruler to obtain a straight line graph.

Setting out:
Often, we set out the solution as follows.








Example 7
Plot the graph of y = –2x + 4.
Solution:









Key Terms
linear graph, plotting a linear graph,
straight line graph
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