Same slope and intercepts
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Yes, parallel lines have different intercepts
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.
one solution; the lines that represent the equations intersect an infinite number of solution; the lines coincide, or no solution; the lines are parallel
Two lines with the same slope and y-intercept look like one single line. The "system" of equations consists of the same equation twice. The lines coincide at every point, which means there are an infinite number of solutions.
No, coincide is not a noun.The word 'coincide' is a verb (coincide, coincides, coinciding, coincided), a word meaning to occupy the same place in space or time; to occupy the same positions on a scale; to correspond; to agree.The noun forms for the verb to coincide are coincidenceand the gerund, coinciding.