Intersecting Lines (Junior Cert Mathematics): Flashcards

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Intersecting Lines
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What are intersecting lines?

Two lines that cross at a specific point on the Cartesian Plane

Method to find where two lines intersect

Solve simultaneous equations

What does 'eliminate a variable' mean?

Remove xx or yy by adding or subtracting equations

What is a coefficient?

The number in front of a variable

What is back-substituting?

Substituting found variable back to find the other variable

First step when finding intersection point

Label the equations

Why make coefficients of yy (or xx) the same?

So they cancel out when adding or subtracting equations

How to eliminate a variable from two equations?

Add or subtract the equations

After solving for yy, what's the next step?

Substitute yy back into an original equation to find xx

Format for the intersection point solution

Coordinate pair (x,y)(x, y)

How to check if solution (x,y)(x, y) is correct?

Substitute values back into both original equations

Link between algebra and coordinate geometry here

Solving equations simultaneously finds the intersection point

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