9. Five mark exercise problems III

1. Find the equation of a line passing through \((6,-2)\) and perpendicular to the line joining the points \((6,7)\) and \((2,-3)\).

 

Answer:

 

The equation of the line is \(2x + 5y + 2 = 0\)\(2x - 5y - 2 = 0\)\(2x + 5y - 2 = 0\)\(2x - 5y + 2 = 0\).

 

2. Find the equation of a straight line through the point of intersection of the lines \(8x + 3y = 18\), \(4x + 5y = 9\) and bisecting the line segment joining the points \((5,-4)\) and \((-7,6)\).