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Solution 2.2:8b

From Förberedande kurs i matematik 1

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m (Lösning 2.2:8b moved to Solution 2.2:8b: Robot: moved page)
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A point whose coordinates satisfy
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<math>y<3x-4</math>
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has a
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<math>y</math>
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-coordinate which is less than that of a point lying on the line
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<math>y=3x-4</math>
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and having the same
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<math>x</math>
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-coordinate. This means that the area we should shade consists of all points below the line
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<math>y=3x-4</math>.
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{{NAVCONTENT_START}}
{{NAVCONTENT_START}}
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<center> [[Image:2_2_8b.gif]] </center>
+
 
{{NAVCONTENT_STOP}}
{{NAVCONTENT_STOP}}
[[Image:2_2_8_b.gif|center]]
[[Image:2_2_8_b.gif|center]]
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 +
We can draw the line
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<math>y=3x-4</math>
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by choosing two x-values, for example
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<math>x=0</math>
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and
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<math>x=1</math>, using the equation of the line to calculate the corresponding y-coordinates,
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<math>y=3\centerdot 0-4=-4</math>
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and
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<math>y=3\centerdot 1-4=-1</math>
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respectively, and then draw a straight line between the two points that we have obtained.

Revision as of 12:34, 18 September 2008

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, y=30−4=−4 and y=31−4=−1 respectively, and then draw a straight line between the two points that we have obtained.

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