Drawing two lines and interpreting their intersection
Drawing two lines and interpreting their intersection
Secondary 2
7 marks
TGM Original Questions
- Copy and complete the following table of values of \(x\) and \(y\) for the equation \(y=\frac12x-2\).[1]
\(x\) \(-4\) \(0\) \(4\) \(y\) - On the grid provided below, using the numbered axis scales, draw the graph of \(y=\frac12x-2\) for \(-8\leq x\leq4\).[2]
- On the same axes, draw and label the graph of \(y=x+1\).[2]
- Hence, find the coordinates of the point of intersection of the two graphs and explain the significance of this point.[2]
Solution:
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Answer:(a) \(y=-4,-2,0\). (b–c) See the completed graphs. (d) \((-6,-5)\); this pair satisfies both equations.
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