Question

ordered pair
write the ordered pair for each given point.
a ____ b __ c ____
d ____ e __ f ____
g ____ h __ i ____
plot the following points on the coordinate grid.
j (4,9) k (9,5) l (1,8)
m (8,9) n (8,7) o (4,7)

Explanation:

Step1: Recall Ordered Pair Definition

An ordered pair \((x, y)\) has \(x\) as the horizontal (x - axis) coordinate and \(y\) as the vertical (y - axis) coordinate. To find the ordered pair for a point, we first find the \(x\) - value (by moving horizontally from the origin) and then the \(y\) - value (by moving vertically from the origin).

Step2: Find Ordered Pair for Point A

For point A: Move horizontally to the x - axis. The x - coordinate is 6. Move vertically to the y - axis. The y - coordinate is 2. So, the ordered pair for A is \((6, 2)\).

Step3: Find Ordered Pair for Point B

For point B: The x - coordinate is 4 (horizontal movement) and the y - coordinate is 1 (vertical movement). So, the ordered pair for B is \((4, 1)\).

Step4: Find Ordered Pair for Point C

For point C: The x - coordinate is 3 and the y - coordinate is 3. So, the ordered pair for C is \((3, 3)\).

Step5: Find Ordered Pair for Point D

For point D: The x - coordinate is 5 and the y - coordinate is 5. So, the ordered pair for D is \((5, 5)\).

Step6: Find Ordered Pair for Point E

For point E: The x - coordinate is 2 and the y - coordinate is 6. So, the ordered pair for E is \((2, 6)\).

Step7: Find Ordered Pair for Point F

For point F: The x - coordinate is 5 and the y - coordinate is 3. So, the ordered pair for F is \((5, 3)\).

Step8: Find Ordered Pair for Point G

For point G: The x - coordinate is 8 and the y - coordinate is 3. So, the ordered pair for G is \((8, 3)\).

Step9: Find Ordered Pair for Point H

For point H: The x - coordinate is 1 and the y - coordinate is 4. So, the ordered pair for H is \((1, 4)\).

Step10: Find Ordered Pair for Point I

For point I: The x - coordinate is 7 and the y - coordinate is 6. So, the ordered pair for I is \((7, 6)\).

Step11: Plotting Points (Brief Explanation)

To plot a point \((x, y)\), we move \(x\) units along the x - axis (right if \(x>0\)) and \(y\) units along the y - axis (up if \(y > 0\)) from the origin \((0,0)\). For example, for \(J(4,9)\): Move 4 units right on the x - axis and 9 units up on the y - axis and mark the point. Similarly, for \(K(9,5)\): 9 units right on x - axis and 5 units up on y - axis. For \(L(1,8)\): 1 unit right on x - axis and 8 units up on y - axis. For \(M(8,9)\): 8 units right on x - axis and 9 units up on y - axis. For \(N(8,7)\): 8 units right on x - axis and 7 units up on y - axis. For \(O(4,7)\): 4 units right on x - axis and 7 units up on y - axis.

Answer:

• A: \((6, 2)\)
• B: \((4, 1)\)
• C: \((3, 3)\)
• D: \((5, 5)\)
• E: \((2, 6)\)
• F: \((5, 3)\)
• G: \((8, 3)\)
• H: \((1, 4)\)
• I: \((7, 6)\)

(For plotting the points \(J(4,9)\), \(K(9,5)\), \(L(1,8)\), \(M(8,9)\), \(N(8,7)\), \(O(4,7)\), follow the step - by - step plotting instructions as above.)