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

(−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

(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)

Answer 1

To determine which ordered pairs correspond to the points described, let's first analyze the coordinates of the points based on the information provided:

1. The first point is located in quadrant two, positioned at 1 increment along the x-axis and 6 increments along the y-axis. Since it is in quadrant two, the coordinates will be (-1, 6).

2. The second point is also in quadrant two, positioned at 3 increments along the x-axis (which is -3 since it's in quadrant two) and 2 increments along the y-axis. This point is therefore (-3, 2).

3. The third point is located in quadrant three, positioned at 5 increments along the x-axis (which is -5 since it's in quadrant three) and 2 increments along the y-axis (which is also negative, so -2). This gives the point (-5, -2).

Based on these points:

- The first point is (-1, 6)
- The second point is (-3, 2)
- The third point is (-5, -2)

Now I will look for the matching ordered pairs:

- From the options given:
- (−2,−5), (2,−3), (6,−1)
- (−5,2), (−3,2), (−1,6)
- (5,−2), (3,2), (1,6)
- (−5,−2), (−3,2), (−1,6)

The correct response with the points we determined would be:
**(−5,−2), (−3,2), (−1,6)**.