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There are one or infinitely many points.
The line of symmetry is the reflection of an object. The Letter F does not have a line of symmetry.
Of course not.The graph of [ f(x) = 4 ] is the straight line [ Y = 4 ] . . . a perfectly good function with all of its points on the same horizontal line.The graph of [ f(x) = x2 ] is the parabola with its nose at the origin and opening upwards. Another perfectly good function which has two points on every horizontal line [ Y = K ].In fact, I think probably every f(x) that has 'x to some power' in it always has at least two points on the same horizontal line.
The slope is -2/6 = -1/3.
The line of action of a force F expresses the geometry of how F is applied. It is the line through the point at which F is applied and along the direction in which F is applied.