Find the equation of the line perpendicular to the line joining the points A(1, 2) and B(6, 7) and passing through the point which divides the line segment AB in the ratio 3 : 2.

Write down the equation of the line passing through (-3, 2) and perpendicular to the line 3y = 5 - x.

A straight line passes through P(2, 1) and cuts the axes in points A, B. If BP : PA = 3 : 1.

Find :

(i) the coordinates of A and B.

(ii) the equation of the line AB.

A straight line makes on the coordinate axes positive intercepts whose sum is 7. If the line passes through the point (-3, 8), find its equation.