Systems of Linear Equations have one solution when they intersect in EXACTLYone point. This point is normally specified as (x,y).
Systems of Linear Equations that have One Solution have Different Slopes.
No Solution
Systems of Linear Equations have no solution because they are parallel lines. Therefore, they will NEVERintersect.
Systems of Linear Equations that have No Solution have the Same Slopes.
Infinitely Many Solutions
Systems of Linear Equations have infinitely many solutions are equations that are exactly the same line. Therefore, they intersect INFINITELYmany times!
Systems of Linear Equations that have Infinitely Many Solutions have the Same Slopes and the Same y - Intercepts.