Question

(05.01)

The graph of a system of parallel lines will have no solutions. (1 point)

Always
Sometimes
Never


(05.01)
The graph of a system of equations with different slopes will have no solutions. (1 point)

Always
Sometimes
Never

Answer 1

#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.

Answer 2

Explanation:

The graph of a system of parallel lines will have no solutions.

• Always

Because they will never intersect, having same slopes.

=========================

The graph of a system of equations with different slopes will have no solutions.

• Never

Because they will intersect exactly once, having different slopes.