The line segment joining the points A (3, -4) and B (-2, 1) is divided in the ratio 1:3 at point P in it. Find the co-ordinates of P.
Also, find the equation of the line through P and perpendicular to the line 5x - 3y = 4.
Find the equation of the line parallel to the line 3x - 5y = 7 and passing through the point which divides the line segment joining the points (-3, 3) and (2, -7) ain the ratio 2 : 3
Write down the equation of the line whose gradient is −25 and which passes through point P, where P divides the line segment joining A (4, -8) and B (12, 0) in the ratio 3 : 1.