Using a Gradient and Known Point to Find a Line Equation

Using a Gradient and Known Point to Find a Line Equation

Secondary 3

The graph below shows a line \(l\), which crosses the \(y\)-axis and \(x\)-axis at \(A\) and \(B\left( -5,0 \right)\)respectively.

  1. Given the gradient of line \(l\) is \(1.5\), write down the coordinates of \(A\).
  2. Find the equation of the line \(l\).

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Answer:(i) \(A(0, 7.5)\) (ii) \(y = 1.5x + 7.5\)

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