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
(−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 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
(−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
To answer the question, we can look at the given information about the points plotted on the coordinate plane.
- We are told that one point is located in quadrant 2 and positioned at 1 increment along the x-axis and 6 increments along the y-axis.
- Another point is located in quadrant 2 and positioned at 3 increments along the x-axis and 2 increments along the y-axis.
- The third point is located in quadrant 3 and positioned at 5 increments along the x-axis and 2 increments along the y-axis.
Now, let's analyze the options to determine the correct ordered pairs:
Option 1: (−2, −5), (2, −3), (6, −1)
Option 2: (5, −2), (3, 2), (1, 6)
Option 3: (−5, −2), (−3, 2), (−1, 6)
Option 4: (−5, 2), (−3, 2), (−1, 6)
Comparing the positions of the given points with the options, we can see that Option 2 matches the descriptions.
Therefore, the correct answer is:
(5, −2), (3, 2), (1, 6)
From the given information, we can determine the following points plotted on the coordinate grid:
Point 1: Located in quadrant 2, positioned at 1 increment along the x-axis and 6 increments along the y-axis. Therefore, this point has the coordinates (1, 6).
Point 2: Located in quadrant 2, positioned at 3 increments along the x-axis and 2 increments along the y-axis. Therefore, this point has the coordinates (3, 2).
Point 3: Located in quadrant 3, positioned at 5 increments along the x-axis and 2 increments along the y-axis. Therefore, this point has the coordinates (5, 2).
So, the correct ordered pairs that are plotted on this coordinate grid are: (1, 6), (3, 2), and (5, 2).