Derive the equation of a line passing through \((10,-6)\) and perpendicular to the line joining the points \((6,7)\) and \((2,-3)\).
Answer:
The slope of the line joining the points \((6,7)\) and \((2,-3)\) is .
The slope of the line perpendicular to the line joining the points \((6,7)\) and \((2,-3)\) is .
The equation of the line is .