Intercepts and intersection of two lines

Intercepts and intersection of two lines

Secondary 2
10 marks
TGM Original Questions

Let \(L_1\) be the line \(y=-2x+5\).

  1. State the coordinates where \(L_1\) meets the coordinate axes.[2]
  2. On the grid provided below, using the numbered axis scales, draw and label the graph of \(L_1\) for \(-2\leq x\leq4\).[2]
  3. On the same axes, draw and label the graph of \(L_2:y=\frac12x-2\) for \(-2\leq x\leq4\).[2]
  4. Hence, use the graphs to estimate the coordinates of the point of intersection of \(L_1\) and \(L_2\), giving each coordinate correct to 1 decimal place.[1]
  5. Verify your answer to (d) by solving the pair of simultaneous equations algebraically.[3]

Solution:

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Answer:Axis intercepts \((0,5)\), \((2.5,0)\); intersection \((2.8,-0.6)\).

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