Determine the Solution Set to a Linear Function by The Intercept Method

Given –3P + 2Q = 6

Determine the Intercepts

If P = 0 then Q = +3

If Q = 0 then P = –2

Graph Solution Set from Intercepts

Check Solution Set with Arbitary Point: P = +1 then Q = ?

Substitue P = +1 into Linear Function and Solve for Q = + 11/2

–3P + 2Q = 6 –3(–1) + 2Q = 6 + 2Q = 3 Q=+11/2

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Determine the Solution Set to a Linear Function by The Intercept Method

Given +R – S = +3

Determine the Intercepts

If R = 0 then S = –3

If S = 0 then P = +3

Graph Solution Set from Intercepts

Check Solution Set with Arbitary Point: R = +1 then S = ?

Substitue R = +1 into Linear Function and Solve for S = –2

+R – S = +3 (+1) – S = +3 – S = 3 S = –2

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