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Yes z has rotational and line symmetryalso make sure it's = when you do line symmetryYes - halfway along the diagonal line.
Z
When two parallel lines are intersected by a transverse line, they form eight angles. You can consider the parallel lines as the horizontal lines of the letter Z and the transversal as the sloped line of Z. Then the two angles in that Z-shape are the Z angles. The transversal for Z-angles can slope either way. It can be proved that Z-angles, properly called ALTERNATE angles, are equal.
The z intercept occurs when x=y=0. Picture the z axis coming up from the floor. A good example is the corner of a room, The x-y plane is the floor and the z axis the the line coming up from the floor, perpendicular to it. This is the corner of the room. Now when would something intersect that line? It would happen when x=0 and y=0 If the equation is 5x-2y-4z-3=0 setting x and y to zero yields -4z-3=0 or 4z=-3 so z=-3/4
Z = -0.8416