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No, equations with the same slope do not intersect unless they are the same line.
In plain geometry, if 2 lines never intersect, they are Parallel
x = 2 and y =1 so the lines intersect at (2, 1)
They have a starting point, end point, definite length, they connect 2 points, they have a definite slope, they do not always have a y- intersect or x- intersect.
Where the lines intersect that gives the values for x and y in the two equations. The lines should intersect at (1, -3) because x = 1 and y = -3