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QUESTION IMAGE

write the ordered pair for the point c:

Question

write the ordered pair for the point c:

Explanation:

Identify the orientation of the axes

Note that the image is rotated \(90^\circ\) counterclockwise. The horizontal axis is labeled \(y\) and the vertical axis is labeled \(x\). However, standard mathematical convention for writing an ordered pair is \((x, y)\). Let's trace the coordinates along the labeled \(x\) and \(y\) axes:

  • Along the axis labeled \(x\) (which is vertical, pointing upwards as positive): Point \(C\) lies on the horizontal axis line, meaning its position along the vertical \(x\)-axis is \(0\). Thus, \(x = 0\).
  • Along the axis labeled \(y\) (which is horizontal, pointing leftwards as positive based on the arrow and label \(y\) on the left): Let's count the grid units from the intersection (origin). Point \(C\) is located \(2\) grid units to the right of the vertical axis. Since the positive \(y\) direction is to the left, moving \(2\) units to the right means \(y = -2\).

Determine the ordered pair

Using the Coordinate Plane Quadrants knowledge point:
Using the Coordinate Plane Quadrants knowledge point

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Answer:

Write the ordered pair for the point C: <blank>\((0, -2)\)</blank>