The point $$\(A\)$$ has coordinates $$\((5,-4)\)$$ The point $$\(B\)$$ has coordinates $$\((13,1)\)$$ (a) Work out the coordinates of the midpoint of $$\(A B\)$$. (2) Line $$\(\mathbf{L}\)$$ has equation $$\(y=2-3 x\)$$ (b) Write down the gradient of line $$\(\mathbf{L}\)$$. (1) Line $$\(\mathbf{L}\)$$ has equation $$\(y=2-3 x\)$$ (c) Does the point with coordinates $$\((100,-302)\)$$ lie on line $$\(\mathbf{L}\)$$ ? You must give a reason for your answer. (1)

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