Given line and a second graph

Given line and a second graph

Secondary 2
8 marks
TGM Original Questions
  1. For the line \(y=1.5x-2\), state its gradient.[1]
  2. The point \((k,k+2)\) lies on this line; find \(k\).[2]
  3. Copy and complete the following table of values of \(x\) and \(y\) for the equation \(y=-x+4\).[1]
    \(x\)\(-2\)\(2\)\(4\)
    \(y\)
  4. On the grid provided below, using the numbered axis scales, draw and label the graphs of \(y=-x+4\) and \(y=1.5x-2\) for \(-2\leq x\leq4\).[3]
  5. Hence, use the graphs to solve the simultaneous equations \(y=-x+4\) and \(y=1.5x-2\), giving the values of \(x\) and \(y\) correct to 1 decimal place.[1]

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Answer:(a) Gradient \(1.5\). (b) \(k=8\). (c) \(y=6,2,0\). (d) See the labelled graphs. (e) \(x=2.4,\ y=1.6\).

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