2 answers:
Step-by-step explanation:
<u>The graph of a system of parallel lines will have no solutions. </u>
Because they will never intersect, having same slopes.
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<u>The graph of a system of equations with different slopes will have no solutions. </u>
Because they will intersect exactly once, having different slopes.
#1
As we know that parallel lines have equal slope . As they have equal slope they just continue to be parallel and never intercect each other They always have no solutions
#2
Different slopes means there is somehow in the plane they intercect. May very far or very close but they intersect each other at one point. They will never have no solutions.
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