Question

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

Answer 1

is it never ?

Answer 2

A solution for a system of equations can be visualized at the point where their graphs (lines) cross... I'd say these two lines have different slopes, but they definitely intersect. In fact lines with different slopes will *ALWAYS* cross at some point.

Answer 3

sometimes or always i think its never

Answer 4

When two lines cross, the intersection is the solution.

Answer 5

If they don't cross, they don't have a solution.

Answer 6

The only case where they won't cross is where they're *parallel*, which requires they have the same slope:

Answer 7

Parallel lines by definition do not cross; lines that *aren't* parallel will (again, by definition) eventually cross. The point where lines cross corresponds to a solution!

Answer 8

so its neveerr ?