Question

four quadrant ordered pairs

tell what point is located at each ordered pair.

1. (-1,-7 ) __ 3) (-4,+9) 5) (+4,+8) 7) (-7,+3) __
2. (+8,+9) __ 4) (-7,-8 ) 6) (-7,+7 ) 8) (+6,+4) __

write the ordered pair for each given point.

1. p __ 11) i 13) o 15) j __
2. a __ 12) q 14) d 16) l __

plot the following points on the coordinate grid.

1. f (+2,+1) 19) e (-2,-2 ) 21) s (+0,-6) 23) t (+5,-9)
2. r (-3,-8 ) 20) h (+4,+5) 22) m (+5,+6) 24) w (+0,+0)

Explanation:

Part 1: Identify Point from Ordered Pair

To solve, we use the coordinate grid: the first number is the \( x \)-coordinate (horizontal), the second is the \( y \)-coordinate (vertical).

1. \((-1, -7)\): Find \( x = -1 \), \( y = -7 \). The point is \( G \).
2. \((-4, +9)\): \( x = -4 \), \( y = 9 \). The point is \( N \).
3. \((+4, +8)\): \( x = 4 \), \( y = 8 \). The point is \( Y \).
4. \((-7, +3)\): \( x = -7 \), \( y = 3 \). The point is \( B \).
5. \((+8, +9)\): \( x = 8 \), \( y = 9 \). The point is \( U \).
6. \((-7, -8)\): \( x = -7 \), \( y = -8 \). The point is \( X \).
7. \((-7, +7)\): \( x = -7 \), \( y = 7 \). The point is \( C \).
8. \((+6, +4)\): \( x = 6 \), \( y = 4 \). The point is \( K \).

Part 2: Write Ordered Pair for Point

We determine \( (x, y) \) by reading horizontal (\( x \)) and vertical (\( y \)) positions.

1. \( P \): \( x = 5 \), \( y = -7 \) → \( (5, -7) \).
2. \( A \): \( x = 8 \), \( y = 2 \) → \( (8, 2) \).
3. \( I \): \( x = 7 \), \( y = 6 \) → \( (7, 6) \).
4. \( Q \): \( x = -9 \), \( y = 0 \) → \( (-9, 0) \) (wait, original grid: Q is at \( x=-9 \), \( y=0 \)? Wait, recheck: Q is on \( x=-9 \), \( y=0 \)? Wait, the grid: Q is at \( (-9, 0) \)? Wait, no—looking at the grid, Q is at \( x=-9 \), \( y=0 \)? Wait, the first row: Q is at \( (-9, 0) \)? Wait, the vertical line for \( x=-9 \), horizontal line \( y=0 \). So \( Q: (-9, 0) \).
5. \( O \): \( x = 6 \), \( y = -1 \) → \( (6, -1) \).
6. \( D \): \( x = 3 \), \( y = -7 \) → \( (3, -7) \).
7. \( J \): \( x = 6 \), \( y = -8 \) → \( (6, -8) \).
8. \( L \): \( x = -4 \), \( y = 8 \) → \( (-4, 8) \).

Part 3: Plot Points (Brief Explanation)

For a point \( (a, b) \):

• Move \( a \) units along the \( x \)-axis (right if \( a>0 \), left if \( a<0 \), stay at origin if \( a=0 \)).
• Move \( b \) units along the \( y \)-axis (up if \( b>0 \), down if \( b<0 \), stay at origin if \( b=0 \)).
• Mark the intersection.

Final Answers (Key Examples)

1. \((-1, -7)\): \( G \)
2. \((+8, +9)\): \( U \)
3. \((-4, +9)\): \( N \)
4. \((-7, -8)\): \( X \)
5. \((+4, +8)\): \( Y \)
6. \((-7, +7)\): \( C \)
7. \((-7, +3)\): \( B \)
8. \((+6, +4)\): \( K \)
9. \( P \): \( (5, -7) \)
10. \( A \): \( (8, 2) \)
11. \( I \): \( (7, 6) \)
12. \( Q \): \( (-9, 0) \)
13. \( O \): \( (6, -1) \)
14. \( D \): \( (3, -7) \)
15. \( J \): \( (6, -8) \)
16. \( L \): \( (-4, 8) \)

(Plotting steps follow the coordinate movement logic above.)

Answer:

Part 1: Identify Point from Ordered Pair

To solve, we use the coordinate grid: the first number is the \( x \)-coordinate (horizontal), the second is the \( y \)-coordinate (vertical).

1. \((-1, -7)\): Find \( x = -1 \), \( y = -7 \). The point is \( G \).
2. \((-4, +9)\): \( x = -4 \), \( y = 9 \). The point is \( N \).
3. \((+4, +8)\): \( x = 4 \), \( y = 8 \). The point is \( Y \).
4. \((-7, +3)\): \( x = -7 \), \( y = 3 \). The point is \( B \).
5. \((+8, +9)\): \( x = 8 \), \( y = 9 \). The point is \( U \).
6. \((-7, -8)\): \( x = -7 \), \( y = -8 \). The point is \( X \).
7. \((-7, +7)\): \( x = -7 \), \( y = 7 \). The point is \( C \).
8. \((+6, +4)\): \( x = 6 \), \( y = 4 \). The point is \( K \).

Part 2: Write Ordered Pair for Point

We determine \( (x, y) \) by reading horizontal (\( x \)) and vertical (\( y \)) positions.

1. \( P \): \( x = 5 \), \( y = -7 \) → \( (5, -7) \).
2. \( A \): \( x = 8 \), \( y = 2 \) → \( (8, 2) \).
3. \( I \): \( x = 7 \), \( y = 6 \) → \( (7, 6) \).
4. \( Q \): \( x = -9 \), \( y = 0 \) → \( (-9, 0) \) (wait, original grid: Q is at \( x=-9 \), \( y=0 \)? Wait, recheck: Q is on \( x=-9 \), \( y=0 \)? Wait, the grid: Q is at \( (-9, 0) \)? Wait, no—looking at the grid, Q is at \( x=-9 \), \( y=0 \)? Wait, the first row: Q is at \( (-9, 0) \)? Wait, the vertical line for \( x=-9 \), horizontal line \( y=0 \). So \( Q: (-9, 0) \).
5. \( O \): \( x = 6 \), \( y = -1 \) → \( (6, -1) \).
6. \( D \): \( x = 3 \), \( y = -7 \) → \( (3, -7) \).
7. \( J \): \( x = 6 \), \( y = -8 \) → \( (6, -8) \).
8. \( L \): \( x = -4 \), \( y = 8 \) → \( (-4, 8) \).

Part 3: Plot Points (Brief Explanation)

For a point \( (a, b) \):

• Move \( a \) units along the \( x \)-axis (right if \( a>0 \), left if \( a<0 \), stay at origin if \( a=0 \)).
• Move \( b \) units along the \( y \)-axis (up if \( b>0 \), down if \( b<0 \), stay at origin if \( b=0 \)).
• Mark the intersection.

Final Answers (Key Examples)

1. \((-1, -7)\): \( G \)
2. \((+8, +9)\): \( U \)
3. \((-4, +9)\): \( N \)
4. \((-7, -8)\): \( X \)
5. \((+4, +8)\): \( Y \)
6. \((-7, +7)\): \( C \)
7. \((-7, +3)\): \( B \)
8. \((+6, +4)\): \( K \)
9. \( P \): \( (5, -7) \)
10. \( A \): \( (8, 2) \)
11. \( I \): \( (7, 6) \)
12. \( Q \): \( (-9, 0) \)
13. \( O \): \( (6, -1) \)
14. \( D \): \( (3, -7) \)
15. \( J \): \( (6, -8) \)
16. \( L \): \( (-4, 8) \)

(Plotting steps follow the coordinate movement logic above.)