0
By solving simultaneous linear equations.
(If you don't know how to do this, it's a bit more complicated than can be detailed here, but basically you cast the equations for the two lines into the form
ax + by = z
and then see if there are any valid solutions to the equation a1x + b1y = a2x + b2y. If so, that's your answer. If not, the lines are skew and do not intersect.)
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