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#### CaptainBlack

##### Well-known member

- Jan 26, 2012

- 890

**1.**The line \(AB\) has equation \(7x+3y=13\).

**(a)**Find the gradient of \(AB\). (2 marks)

**(b)**The point \(C\) has coordinates \((-1,3)\).

**(i)**Find an equation of the line which passes through the point \(C\) and which is parallel to \(AB\). (2 marks)

**(ii)**The point \( (1\frac{1}{2},-1)\) is the mid point of \(AC\). Find the coordinates of the point \(A\) (2 marks)

**(c)**The line \(AB\) intersects the line with equation \(3x+2y=12\) at the point \(B\). Find the coordinates of \(B\) (3 marks)