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No, equations with the same slope do not intersect unless they are the same line.
The x and y axes on the Cartesian plane intersect at the origin at right angles
Parallel lines are lines that never intersect. So the answer is no.
It is where the x and y coordinates intersect.
For the line y = 3 , there is no x-intersect., because y = 3 is a parallel line with y- 0 ( the x-axis).