How do I create a table of values for -3x+4y=8? I already have the table constructed, but would like to double check it with you.

Expert Answers

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Solve the equation for y, thus putting the equation in slope-intercept form:

4y = 3x + 8

y = 3/4x + 2

However, in constructing a table of values, I prefer to make it as easy on myself as possible.  In other words, since the slope (coefficient of x) is a fraction, pick values for x that are multiples of 4, thus making it easier to graph the coordinates on the Rectangular Coordinate system.

x     y

0     2

4     5

-4    -1

In my opinion, it is easier to graph these whole number values than it is fraction or decimal coordinates.

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