The intersection of two lines (AQA GCSE Further Maths): Flashcards
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12 cards from this deck
Intersection point of two lines
Intersection point of two lines
Point where two lines meet/cross on coordinate plane
What intersection point represents
What intersection point represents
Solution to system of two linear equations
Two main methods to find intersection
Two main methods to find intersection
Algebraic (simultaneous eqs) and graphical (plotting)
Intersection points for non-parallel lines
Intersection points for non-parallel lines
Exactly one (unique intersection point)
Main advantage of algebraic method
Main advantage of algebraic method
Gives precise/exact results
Main feature of graphical method
Main feature of graphical method
Visual understanding but limited accuracy
How to verify intersection solution
How to verify intersection solution
Substitute coordinates into both original equations
General form of linear equation
General form of linear equation
Slope-intercept form of line
Slope-intercept form of line
Substitution method for simultaneous equations
Substitution method for simultaneous equations
Solve one equation for a variable, substitute into other
Elimination method for simultaneous equations
Elimination method for simultaneous equations
Make coefficients equal, then add/subtract equations
When two lines don't intersect
When two lines don't intersect
When parallel (same gradient, different y-intercepts)