Question

Use the image to answer the question.

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

Answer 1

To determine the correct ordered pairs based on the description provided, let's analyze the points:

1. **First Point**:
- Quadrant II (x is negative, y is positive).
- Located at 1 increment along the x-axis and 6 increments along the y-axis.
- This translates to the ordered pair (-1, 6), because in Quadrant II, the x-coordinate is negative.

2. **Second Point**:
- Also in Quadrant II.
- Located at 3 increments along the x-axis and 2 increments along the y-axis.
- This translates to the ordered pair (-3, 2).

3. **Third Point**:
- Located in Quadrant III (x is negative, y is negative).
- Positioned at 5 increments along the x-axis and 2 increments along the y-axis.
- This translates to the ordered pair (-5, -2).

By summarizing these points, we have the ordered pairs: (-1, 6), (-3, 2), and (-5, -2).

Now, checking against the response options:
1. (5,−2), (3,2), (1,6) - Does not match.
2. (−5,−2), (−3,2), (−1,6) - Does match.
3. (−2,−5), (2,−3), (6,−1) - Does not match.
4. (−5,2), (−3,2), (−1,6) - Does not match.

The correct response is: **(−5,−2), (−3,2), (−1,6)**.