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I know that if two lines have the same slope they will be parallel but what if a line has a slope of -4 and another has a slope of 4 will they also never intersect?
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No. They will intersect.
Only if they are parallel will they not intersect.
Why? Can you draw it for me
No they will intersect since one has a positive slope and the other one a negative slope.
Suppose we have two lines: y = 4x and y = -4x
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