If a linear equation has solutions (–3, 3), (-1,1), (1, -1) and (3, – 3), then find the X and Y intercepts of the graph of that equation.

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Solution

The points are all of the form (a, -a) [observation]

Therefore, the line has the equation x + y = 0.

It can be seen that this line passes through the origin.

Thus, the X intercept and the Y intercept are both equal to 0 because there is no constant term in the equation of line.

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If a linear equation has solutions (–3, 3), (-1,1), (1, -1) and (3, – 3), then find the X and Y intercepts of the graph of that equation.

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