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## Homework Statement

ABC is an isosceles triangle such that

AB = AC

A has coordinates (4, 37)

B and C lie on the line with equation 3y = 2x + 12

Find an equation of the line of symmetry of triangle ABC.

Give your answer in the form px + qy = r where p, q and r are integers. Show clear algebraic working.

## The Attempt at a Solution

Would the equation of the line of symmetry of triangle ABC be y = -3/2 x + c (as it's perpendicular to y=2/3x + 4)

So as it goes through A (4,37) we get y = -3/2 x + 43

How on earth do you get the form px + qy = r

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