# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2008 | January | Q#4

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**Question**

The point A(–6, 4) and the point B (8, –3) lie on the line L.

**a. **Find an equation for L in the form ax + by + c = 0, where a, b and c are integers.

**b. **Find the distance AB, giving your answer in the form , where k is an integer.`

**Solution**

**a.
**

We are given coordinates of points A(–6, 4) and B(8, –3) on the line L and we are required to find the equation of line L.

Two-Point form of the equation of the line is;

Therefore;

**b. **

We are given coordinates of points A(–6, 4) and B(8, –3) on the line L and we are required to find the distance AB.

Expression to find distance between two given points and is:

Therefore;

Since ;

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