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Solution 2.2:8b

From Förberedande kurs i matematik 1

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A point whose coordinates satisfy y3x−4 has a y -coordinate which is less than that of a point lying on the line y=3x−4 and having the same x -coordinate. This means that the area we should shade consists of all points below the line y=3x−4.

We can draw the line y=3x−4 by choosing two x-values, for example x=0 and x=1, using the equation of the line to calculate the corresponding y-coordinates, \displaystyle y=3\centerdot 0-4=-4 and \displaystyle y=3\centerdot 1-4=-1 respectively, and then draw a straight line between the two points that we have obtained.

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