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A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. One point is located in quadrant two and positioned at 1 increment along the x-axis and 6 increments along the y-axis. One point is located in quadrant 2 and positioned at 3 increments along the x-axis and 2 increments along the y-axis. One point is located in quadrant three and positioned at 5 increments along the x-axis and 2 increments along the y-axis.

Choose the ordered pairs that are plotted on this coordinate grid.

(1 point)
Responses

(5,−2), (3,2), (1,6)
left parenthesis 5 comma negative 2 right parenthesis , left parenthesis 3 comma 2 right parenthesis , left parenthesis 1 comma 6 right parenthesis

(−5,−2), (−3,2), (−1,6)
left parenthesis negative 5 comma negative 2 right parenthesis , left parenthesis negative 3 comma 2 right parenthesis , left parenthesis negative 1 comma 6 right parenthesis

(−2,−5), (2,−3), (6,−1)
left parenthesis negative 2 comma negative 5 right parenthesis , left parenthesis 2 comma negative 3 right parenthesis , left parenthesis 6 comma negative 1 right parenthesis

(−5,2), (−3,2), (−1,6)

1 answer

Let's analyze the points based on the information you provided regarding their locations in the quadrants:

  1. The first point is in quadrant II and is located at (1, 6). In quadrant II, the x-coordinates are negative and the y-coordinates are positive, which means this point cannot possibly be (1, 6). Instead, it should be (-1, 6) since you mentioned it’s 1 increment along the x-axis (moving left from the origin) and 6 along the y-axis (moving up).

  2. The second point is also in quadrant II, located at (3, 2). This is just like the first point as in quadrant II, we expect a negative x value. It should be (-3, 2).

  3. The third point is in quadrant III located at (5, 2). In quadrant III, both x-coordinates and y-coordinates are negative, therefore, it should be (-5, -2).

Now, let’s summarize the points identified based on the quadrants:

  • First point: (-1, 6)
  • Second point: (-3, 2)
  • Third point: (-5, -2)

However, it appears from the given options that we specifically need to relate this in terms of the coordinate pairs provided.

The correct identified pairs in relation to your options should be:

  • (-5, -2) - correct for the point in quadrant III
  • (-3, 2) - correct for the point in quadrant II
  • (-1, 6) - correct for the point in quadrant II

From your options, The option that contains the negative values (-5, -2) and (-3, 2) is: (−5,−2), (−3,2), (−1,6)

This matches the patterns described and placed relatively in the coordinate system.