Given line and a second graph

Given line and a second graph

Secondary 2
TGM Original Questions
  1. For the line \(y=1.5x-2\), state its gradient.
  2. The point \((k,k+2)\) lies on this line; find \(k\).
  3. Copy and complete the following table of values of \(x\) and \(y\) for the equation \(y=-x+4\).
    \(x\)\(-2\)\(2\)\(4\)
    \(y\)
  4. On the grid provided below, using a scale of 1 cm to represent 1 unit on both axes, draw and label the graphs of \(y=-x+4\) and \(y=1.5x-2\) for \(-2\leq x\leq4\).
  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.

Solution:

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Answer:Gradient 1.5; \(k=8\); intersection \((2.4,1.6)\).

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