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all the points from the table to the coordinate grid. | point | coordin…

Question

all the points from the table to the coordinate grid.

pointcoordinates
b(0, 3)
c(1, 7)
d(6, 9)

(coordinate grid provided on the right with x-axis 0–8 and y-axis 0–10)

Explanation:

Response

To solve the problem of graphing the points on the coordinate plane, we follow these steps:

Step 1: Understand the Coordinate System

A coordinate plane has an x - axis (horizontal) and a y - axis (vertical). A point \((x,y)\) is located by moving \(x\) units along the x - axis and \(y\) units along the y - axis.

Step 2: Graph Point A \((5,9)\)
  • For the x - coordinate \(x = 5\), we move 5 units to the right from the origin \((0,0)\) along the x - axis.
  • For the y - coordinate \(y=9\), we move 9 units up from the position we reached on the x - axis. Mark this point as A.
Step 3: Graph Point B \((0,3)\)
  • For \(x = 0\), we stay at the origin (or on the y - axis) along the x - axis.
  • For \(y = 3\), we move 3 units up from the origin along the y - axis. Mark this point as B.
Step 4: Graph Point C \((3,5)\)
  • For \(x=3\), move 3 units to the right from the origin along the x - axis.
  • For \(y = 5\), move 5 units up from the position on the x - axis. Mark this point as C.
Step 5: Graph Point D \((6,6)\)
  • For \(x = 6\), move 6 units to the right from the origin along the x - axis.
  • For \(y=6\), move 6 units up from the position on the x - axis. Mark this point as D.

After following these steps, all the points A \((5,9)\), B \((0,3)\), C \((3,5)\) and D \((6,6)\) are plotted on the coordinate plane.

Answer:

To solve the problem of graphing the points on the coordinate plane, we follow these steps:

Step 1: Understand the Coordinate System

A coordinate plane has an x - axis (horizontal) and a y - axis (vertical). A point \((x,y)\) is located by moving \(x\) units along the x - axis and \(y\) units along the y - axis.

Step 2: Graph Point A \((5,9)\)
  • For the x - coordinate \(x = 5\), we move 5 units to the right from the origin \((0,0)\) along the x - axis.
  • For the y - coordinate \(y=9\), we move 9 units up from the position we reached on the x - axis. Mark this point as A.
Step 3: Graph Point B \((0,3)\)
  • For \(x = 0\), we stay at the origin (or on the y - axis) along the x - axis.
  • For \(y = 3\), we move 3 units up from the origin along the y - axis. Mark this point as B.
Step 4: Graph Point C \((3,5)\)
  • For \(x=3\), move 3 units to the right from the origin along the x - axis.
  • For \(y = 5\), move 5 units up from the position on the x - axis. Mark this point as C.
Step 5: Graph Point D \((6,6)\)
  • For \(x = 6\), move 6 units to the right from the origin along the x - axis.
  • For \(y=6\), move 6 units up from the position on the x - axis. Mark this point as D.

After following these steps, all the points A \((5,9)\), B \((0,3)\), C \((3,5)\) and D \((6,6)\) are plotted on the coordinate plane.