Find the equation of the line through `(-2, 3)` with slope `-4`.

Find the equation of the line passing through (-3,5) and perpendicular to the line through the points (2,5) and (-3,6) .

Find the equation of the lines through the point (3,2) which make an angle of 45^(@) with the line x-2y=3 .

Find the equation of the line which passes through the point (-4,3) and the portion of the line intercepted between the axes is divided internally in the ratio 5:3 by this point.

Find the equation of the line passing through the point of intersection of 2x+ y = 5 and x + 3y + 8=0 and parallel to the line 3x + 4y = 7 . Thinking Process : First find point of intersection of given lines and take slope m of intersection of given lines and take slope m of y-y_1 = m ( x - x_1) .

Find the equation of the line passing through the point of intersection of the lines 4x+7y-3=0 and 2x-3y+1=0 that has equal intercepts on the axes.

Find the equation of the plane through the line of intersection of vecr.(2hati-3hatj+4hatk)=1 and vecr.(hati-hatj)+4=0 and perpendicular to vecr.(2hati-hatj+hatk)+8=0