Prove that 2x + 3y - 6 =0 and 4x + 6y + 1 = 0 are parallel

Prove that 2x + 3y - 6 =0 and 3x - 2y - 1 = 0 are perpendicular

The equation of the tangents to the circle x ^(2) + y ^(2) - 6x + 4y - 12 =0 which are parallel to the line 4x + 3y + 5=0 are :

Prove that the equations 3 x+2 y+5=0 and 3 x+2 y-1=0 are parallel. What are the points of the lines cut the x -axis? What about the y-axis?

A person standing at the junction (crossing) of two straight point repersented by the equation 2x - 3y +4 = 0 and 3x + 4y - 5 = 0 wants to reach the path whose equation is 6x - 7y + 8 = 0 in the least time. Find the equation of the path that he should follow.

Equation of the plane passing through the intersecton of the planes x + y + z = 6 and 2x + 3y + 4z + 5 = 0 and the point (1,1,1) is

Find the equation of the line which is equidistant from the parallel lines 9x + 6y - 7 = 0 and 3x + 2y + 6 = 0