Vectors - Intersection of Two Lines
Vectors - Intersection of Two Lines
Secondary 3
In the diagram, \(C\) is the point \((0,15)\) and \(B\) is the point \((0,5)\).
The sloping line through \(C\) and the horizontal line through \(B\) meet at point \(A\).
- Write down the equation of the line \(AB\).
- Given that the gradient of the line \(AC\) is \(2\), find the equation of the line \(AC\).
- Calculate the coordinates of the point \(A\).
Coordinate geometry diagram showing points A, B, and C on a Cartesian plane.
Solution:
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Answer:(i) \(y=5\) (ii) \(y=2x+15\) (iii) \(A=(-5,5)\).
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