I need some reassurance here:

- The graph of a system of equations will intersect at exactly 1 point.
- sometimes

Question

I need some reassurance here:

- The graph of a system of equations will intersect at exactly 1 point. 
    - sometimes <<<
    - always
    - never

- The graph of a system of equations with the same slope and the same y-intercepts will have no solutions.
    - sometimes
    - always
    - never <<< Don't they have infinitely many solutions?

decentnabeel · Answer

The graph of a system of equations will intersect at exactly 1 poin
some time

anonymous · Answer

I chose that

decentnabeel · Answer

first one

anonymous · Answer

yes
the '<<<' means I chose that as my answer

decentnabeel · Answer

sometime

decentnabeel · Answer

f the two lines have the same y-intercept, then you'll have infinitely many solutions
If they don't have the same y-intercept, then you'll get no solutions.
So this is why this statement is sometimes true

decentnabeel · Answer

The graph of a system of equations with the same slope and the same y-intercepts will have no solutions
sometimes

anonymous · Answer

Alright thank you!

decentnabeel · Answer

no problem :) @kasits16

triciaal · Answer

are you sure for the second one?
same slope means parallel lines  no intersection 
same slope and same y-intercept means same line therefore same infinitely many solutions

triciaal · Answer

maybe I  am a bit confused with the wording