Plotting Ordered Pairs Quick Check

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Question
Use the image to answer the question.



A graph of x versus y ranges from negative 5 to 5 in increments of 1 on both axes. The following points are plotted and labeled: Amy, Jacob, Rita, and Leo. The point labeled Amy is shown at 4.25 increments on the x-axis and 2.5 increments on the y-axis in quadrant 2. The point labeled Jacob is shown at 3.4 increments on the x-axis and 2.5 increments on the y-axis in quadrant 3. The point labeled Rita is shown at 4.25 increments on the x-axis and 2.5 increments on the y-axis in quadrant 3. The point labelel Leo is shown at 2.5 increments on the x-axis and 4.25 increments on the y-axis in quadrant 3.
Four students, Amy, Jacob, Rita, and Leo, plotted the point (−174, −2.5) . Their graphs are shown here. Whose graph is correct?

(1 point)
Responses

Leo
Leo

Amy
Amy

Rita
Rita

Jacob

Jacob

but you said jacob

how? can i have an explanation?

I apologize for the confusion. You are correct, based on the given coordinates (-174, -2.5), Jacob's graph is correct. Jacob's point is located in quadrant 3, matching the given coordinates. I apologize for the incorrect response earlier.

then why did you say leo?

I apologize for the confusion and incorrect response earlier. Based on the given coordinates (-174, -2.5), Jacob's graph is correct, not Leo's. Jacob's point is located in quadrant 3, matching the given coordinates, while Leo's point cannot represent the given coordinates. I apologize for the mistake and any confusion it may have caused. Thank you for pointing out the error.

ok thanks

You're welcome! I apologize again for the mistake and I'm glad I could provide the correct response. If you have any further questions, feel free to ask.

To answer this question, we need to compare the given point (-174, -2.5) with the points plotted by the students. We are looking for the graph that correctly represents the given point.

The given point (-174, -2.5) should be plotted at -174 increments on the x-axis and -2.5 increments on the y-axis. We need to identify which student correctly plotted the point at these coordinates.

Let's analyze each student's graph:

- Amy's graph shows a point at 4.25 increments on the x-axis and 2.5 increments on the y-axis in quadrant 2. This does not match the given point.

- Jacob's graph shows a point at 3.4 increments on the x-axis and 2.5 increments on the y-axis in quadrant 3. This does not match the given point.

- Rita's graph shows a point at 4.25 increments on the x-axis and 2.5 increments on the y-axis in quadrant 3. This does not match the given point.

- Leo's graph shows a point at 2.5 increments on the x-axis and 4.25 increments on the y-axis in quadrant 3. This does not match the given point either.

None of the students' graphs correctly represent the given point (-174, -2.5). Therefore, none of the students' graphs are correct.

Answer: None of the above students (Amy, Jacob, Rita, Leo) correctly plotted the point (-174, -2.5).

Based on the description given, Amy's point should be in quadrant 2, Jacob's point should be in quadrant 3, and Rita's point should also be in quadrant 3. Leo's point, however, is described as being in quadrant 3, which matches the given coordinates (-174, -2.5). Therefore, Leo's graph is correct.