Table, line graph, and a horizontal line

Table, line graph, and a horizontal line

Secondary 2
TGM Original Questions

The variables satisfy \(2x+y=6\).

  1. Copy and complete the following table of values of \(x\) and \(y\) for the equation \(2x+y=6\).
    \(x\)\(-1\)\(1\)\(3\)
    \(y\)
  2. On the grid provided below, using a scale of 2 cm to represent 1 unit on the \(x\)-axis and 1 cm to represent 1 unit on the \(y\)-axis, draw the graph of \(2x+y=6\) for \(-1\leq x\leq3\).
  3. On the same axes, draw and label the line \(y=2\).
  4. Hence, write down the coordinates of the point of intersection of the two lines.

Solution:

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Answer:Table \((-1,8),(1,4),(3,0)\); intersection \((2,2)\).

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