Question

which ordered pair... (options: a (-6, 1), b (0,4), c (0, -8), d (5,8)) with a graph

1. plot all the points from the table in the coordinate plane

point	coordinates
b	(0, 2)
c	(1, 7)
d	(6, 0)

(coordinate grid image on the right)

Explanation:

For part 6 (Plotting Points):

To plot a point \((x,y)\) on the coordinate plane:

• Step 1: Identify \(x\) and \(y\) for Point A \((3,5)\)

The \(x\)-coordinate is \(3\) (move 3 units right from the origin on the \(x\)-axis), and the \(y\)-coordinate is \(5\) (move 5 units up from the origin on the \(y\)-axis). Mark this point.

• Step 2: Identify \(x\) and \(y\) for Point B \((0,2)\)

The \(x\)-coordinate is \(0\) (on the \(y\)-axis), and the \(y\)-coordinate is \(2\) (move 2 units up from the origin). Mark this point.

• Step 3: Identify \(x\) and \(y\) for Point C \((1,7)\)

The \(x\)-coordinate is \(1\) (move 1 unit right), and the \(y\)-coordinate is \(7\) (move 7 units up). Mark this point.

• Step 4: Identify \(x\) and \(y\) for Point D \((6,0)\)

The \(x\)-coordinate is \(6\) (move 6 units right), and the \(y\)-coordinate is \(0\) (on the \(x\)-axis). Mark this point.

For the top question (Identifying a Point):

Assuming the question is "Which ordered pair is the point...", we analyze the options:

• A \((-6,1)\): Left of the origin (negative \(x\)), but most graphs here have positive \(x\)/\(y\) for the marked point.
• B \((0,6)\): On the \(y\)-axis, \(y = 6\), but the graph’s marked point likely has positive \(x\).
• C \((8,-8)\): Negative \(y\), unlikely if the graph has positive \(y\) for the point.
• D \((3,6)\): Positive \(x\) (3) and positive \(y\) (6), matching a point in the first quadrant.

Final Answers:

• For plotting (part 6): Points A \((3,5)\), B \((0,2)\), C \((1,7)\), D \((6,0)\) are plotted at their respective \((x,y)\) positions.
• For the top question: \(\boldsymbol{D. (3,6)}\) (or the correct option based on the graph’s visual; here, D is the most logical).

Answer:

For part 6 (Plotting Points):

To plot a point \((x,y)\) on the coordinate plane:

• Step 1: Identify \(x\) and \(y\) for Point A \((3,5)\)

The \(x\)-coordinate is \(3\) (move 3 units right from the origin on the \(x\)-axis), and the \(y\)-coordinate is \(5\) (move 5 units up from the origin on the \(y\)-axis). Mark this point.

• Step 2: Identify \(x\) and \(y\) for Point B \((0,2)\)

The \(x\)-coordinate is \(0\) (on the \(y\)-axis), and the \(y\)-coordinate is \(2\) (move 2 units up from the origin). Mark this point.

• Step 3: Identify \(x\) and \(y\) for Point C \((1,7)\)

The \(x\)-coordinate is \(1\) (move 1 unit right), and the \(y\)-coordinate is \(7\) (move 7 units up). Mark this point.

• Step 4: Identify \(x\) and \(y\) for Point D \((6,0)\)

The \(x\)-coordinate is \(6\) (move 6 units right), and the \(y\)-coordinate is \(0\) (on the \(x\)-axis). Mark this point.

For the top question (Identifying a Point):

Assuming the question is "Which ordered pair is the point...", we analyze the options:

• A \((-6,1)\): Left of the origin (negative \(x\)), but most graphs here have positive \(x\)/\(y\) for the marked point.
• B \((0,6)\): On the \(y\)-axis, \(y = 6\), but the graph’s marked point likely has positive \(x\).
• C \((8,-8)\): Negative \(y\), unlikely if the graph has positive \(y\) for the point.
• D \((3,6)\): Positive \(x\) (3) and positive \(y\) (6), matching a point in the first quadrant.

Final Answers:

• For plotting (part 6): Points A \((3,5)\), B \((0,2)\), C \((1,7)\), D \((6,0)\) are plotted at their respective \((x,y)\) positions.
• For the top question: \(\boldsymbol{D. (3,6)}\) (or the correct option based on the graph’s visual; here, D is the most logical).