Coincident is two linear measures resting exactly on top of each other. Coincident roots are roots that are equal to each other.
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That its roots (solutions) are coincident.
A line can have at most one root and so coincident roots for a line are not possible.
If the slopes are different the lines are neither - they intersect. They are parallel or coincident if the slopes are the same. Then, if the y-intercepts are the same they are coincident while if the y-intercepts are different, they are parallel.
Yes. Although, they could be coincident which may not be covered by either of these descriptions.
Correct. Unless the parallel lines are coincident, in which case the solution set is the whole line.