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so its ordered pair is (5, 3). the ordered pair for point r is (-2, 4) …

Question

so its ordered pair is (5, 3). the ordered pair for point r is (-2, 4)
because r is 2 units to the left of the origin and 4 units up.
practice
write the letter for each coordinate pair.

  1. (3, 2)
  2. (1, 5)
  3. (-5, 1)
  4. (5, 1)
  5. (-3, 3)
  6. (-5, -2)

write the ordered pair for each point.

  1. g
  2. j
  3. x
  4. m
  5. r
  6. w

Explanation:

Step1: Understand the coordinate system

In a coordinate system, the first number in an ordered pair \((x,y)\) represents the \(x -\)coordinate (horizontal position) and the second number represents the \(y -\)coordinate (vertical position).

Step2: Locate point \(G\)

For point \(G\), move \(2\) units to the right along the \(x -\)axis (\(x = 2\)) and \(2\) units down along the \(y -\)axis (\(y=- 2\)). So the ordered pair is \((2,-2)\).

Step3: Locate point \(M\)

For point \(M\), move \(4\) units to the right along the \(x -\)axis (\(x = 4\)) and \(6\) units up along the \(y -\)axis (\(y = 6\)). So the ordered pair is \((4,6)\).

Step4: Locate point \(J\)

For point \(J\), move \(1\) unit to the right along the \(x -\)axis (\(x = 1\)) and \(0\) units up/down along the \(y -\)axis (\(y = 0\)). So the ordered pair is \((1,0)\).

Step5: Locate point \(R\)

For point \(R\), move \( - 2\) units (i.e., \(2\) units to the left) along the \(x -\)axis (\(x=-2\)) and \(7\) units up along the \(y -\)axis (\(y = 7\)). So the ordered pair is \((-2,7)\).

Step6: Locate point \(X\)

For point \(X\), move \(5\) units to the right along the \(x -\)axis (\(x = 5\)) and \(5\) units down along the \(y -\)axis (\(y=-5\)). So the ordered pair is \((5,-5)\).

Step7: Locate point \(W\)

For point \(W\), move \(0\) units along the \(x -\)axis (\(x = 0\)) and \(3\) units up along the \(y -\)axis (\(y = 3\)). So the ordered pair is \((0,3)\).

Answer:

  1. \((2,-2)\)
  2. \((4,6)\)
  3. \((1,0)\)
  4. \((-2,7)\)
  5. \((5,-5)\)
  6. \((0,3)\)