Intersection of Two Lines (Leaving Cert Mathematics): Flashcards
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Intersection of 2 lines
Intersection of 2 lines
Point where two lines meet/cross
Number of intersection pts for 2 non-parallel lines
Number of intersection pts for 2 non-parallel lines
Exactly one point
What do intersection coords satisfy?
What do intersection coords satisfy?
Both line equations simultaneously
Intersection of parallel lines
Intersection of parallel lines
They never meet
Method using graphs to find intersection
Method using graphs to find intersection
Graphical method
Method using equations to find intersection
Method using equations to find intersection
Algebraic method (simultaneous equations)
Simultaneous equations definition
Simultaneous equations definition
2+ equations satisfied at same time
Two methods for solving simultaneous eqns
Two methods for solving simultaneous eqns
Elimination and substitution
Elimination method technique
Elimination method technique
Add/subtract eqns to eliminate one variable
When elimination method works best
When elimination method works best
When coefficients are easy to work with
Substitution method technique
Substitution method technique
Solve for one var, substitute into other eqn
How to verify intersection point solution
How to verify intersection point solution
Substitute coords into both original equations