Gradient of Straight Line

Gradient of Straight Line

TGM Original Questions

The figure below shows \(\Delta ABC\) in the Cartesian plane.

  1. On the same grid, mark and label the coordinates of \(A\), \(B\) and \(C\).
  2. Find the gradients of the straight lines \(AB\), \(BC\) and \(AC\).
  3. In the same grid, draw the graph of \(x = \frac{2}{5}\), for values of \(y\) from \(-1\) to \(2\).

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Answer:(i) \(A=\left(\dfrac25,2\right)\), \(B=\left(-\dfrac{13}{5},-1\right)\), \(C=\left(\dfrac75,-1\right)\) (ii) \(m_{AB}=1\), \(m_{BC}=0\), \(m_{AC}=-3\) (iii) \(x=\dfrac25\) for \(-1\le y\le2\)

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