Consider the lines `2x+y=1` and `4x-y=5`, Find the equation of the line through the intersection of the given lines and passing through `(5,-3)`.

Consider the line 4x-3y+12=0 Find the equation of the line passing through the point (1,2) and parallel to the given line.

Consider the planes 3x-4y+5z=10 and 2x+2y-3z=4 a.Write the equation of the planes through the line of intersection of the above planes.

Consider two lines L_1:2x+y=4 and L_2:(2x-y=2) Find the equation of the line passing through the intersection of L1 and L2 which makes an angle 45° with the positive direction of x-axis .

Consider two lines L_1:2x+y=4 and L_2:(2x-y=2) Find the equation of the line passing through the intersection of L_1 and L_2 which makes an angle 45° with the positive direction of x-axis . Find the x and y intercepts of the third line obtained.

Find the equation of the line parallel to the line 3x-4y+2=0 and passing through the point (-2,3).

Find the equation of the line passing through the points (1,3) and (5,6).

Find the slope of the line passing through (1,-3) (3,-5).

Find the equation of the line passing through the points (3,-2) and (-1,4).

Find the equation of the line passing through (-1,1) and (2, -4)

Consider the points P(1,3,4) &Q(-3,5,2) .Find the equation of the line passing through P and Q.