Ordered Pairs and Graphing

Learn ordered pairs, coordinate moves.

Lesson 1 of 32 parts Practice Flashcards

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Ordered Pairs

Objective: Explain ordered pairs, apply the stated method, and check its conditions.

A Cartesian ordered pair (x,y) lists horizontal position first and vertical position second. Signed coordinates indicate direction from the origin along each axis. A point on either axis is not inside a quadrant, and swapping coordinates generally changes the point. The first and second coordinates have different roles.

Formulas

Point=(horizontal coordinate, vertical coordinate)

Worked examples

Try itA point is (7,−7). What is its x-coordinate?Show answer

Step 1: An ordered pair lists horizontal coordinate first. Step 2: Read the first entry of (7,−7). Step 3: x=7.

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Ordered Pairs

Objective: Explain ordered pairs, apply the stated method, and check its conditions.

Formulas

Point=(horizontal coordinate, vertical coordinate)

Worked examples

Try itA point is (7,−7). What is its x-coordinate?Show answer

Step 1: An ordered pair lists horizontal coordinate first. Step 2: Read the first entry of (7,−7). Step 3: x=7.

Coordinate Moves

Objective: Explain coordinate moves, apply the stated method, and check its conditions.

A horizontal move changes x while leaving y fixed; a vertical move changes y while leaving x fixed. Left and downward moves subtract, while right and upward moves add. The starting point and move units must use the same coordinate scale. A horizontal move does not change the y-coordinate.

Formulas

$(x,y)→(x+h,y+k)$

Worked examples

Try itStart at (7,7) and move 6 units left. What is the new x-coordinate?Show answer

Step 1: A left move subtracts from x. Step 2: New x=7−6; y stays 7. Step 3: The new x-coordinate is 1.

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