$A$ is the point $(3, 7)$ and the line joining the points $A$ and $B$ has a gradient of \(\f

Question

$A$ is the point $(3, 7)$ and the line joining the points $A$ and $B$ has a gradient of $\frac{1}{5}$. The perpendicular bisector of $AB$ passes through the point $(6, 3)$. Find the equation of $AB$, the coordinates of $B$.

Accepted Answer

(a) $y = \frac{1}{5}x + \frac{32}{5}$ (b) $B = \left( \frac{94}{13}, \frac{102}{13}\right) $

Coordinate Geometry - Equation of a Straight Line

Coordinate Geometry - Equation of a Straight Line

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