Intersection of two straight lines
Intersection of two straight lines
Secondary 2
5 marks
TGM Original Questions
The straight lines \(L_1\) and \(L_2\) have equations \(y=2x-3\) and \(x+y=6\), respectively.
- The table below gives corresponding values of \(x\) and \(y\) for the two lines.
\(x\) \(-1\) \(2\) \(5\) \(y\) for \(L_1\) \(y\) for \(L_2\) Copy and complete the table.[2] - On a coordinate grid, draw and label both lines for \(-1\leq x\leq5\). Use 1-unit intervals on both axes.[2]
- Hence, use the graph to solve the simultaneous equations \(y=2x-3\) and \(x+y=6\).[1]
Solution:
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Answer:(a) For \(x=-1,2,5\), the values of \(y\) are \(-5,1,7\) for \(L_1\) and \(7,4,1\) for \(L_2\). (b) See the completed graphs. (c) \(x=3,\ y=3\).
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