Review of the Coordinate Plane

This lecture series reviews the basic concepts related to graphing points on the Cartesian coordinate plane and associated terminology.

Coordinate plane problems in all four quadrants - Questions

1. Juan graphed the relationship between the temperature and the change in the number of people sledding at a park.

The x-coordinate is the temperature in { }^{\circ} \mathrm{C} and the y-coordinate is the change in the number of people who are sledding.

Which quadrant could contain a point showing 2^{\circ} \mathrm{C} below zero and a decrease of 7 people sledding?

Choose 1 answer:

A. Quadrant I

B. Quadrant II

C. Quadrant III

D. Quadrant IV


2. In the coordinate plane below, the x-axis represents the number of hours before or after noon. For example, -1 would represent 11.am. The y-axis represents the temperature in degrees Celsius. The points (-1, 6) and (7,6) represent two temperatures at different times of the day.

Plot the points on the coordinate plane.


How many hours pass between the two temperatures shown?


3. Rania graphs the relationship between temperature \left(\text { in }{ }^{\circ} \mathrm{C}\right) and elevation (in \text {m}) in 9 different cities (shown below).

What was the temperature in the city with an elevation of -9 \text {m}?


4. Mei graphed the locations of several places in her town on the coordinate plane shown below. There is also an ice cream shop halfway between the school and hospital.

At what coordinates should Mei graph the ice cream shop?


5. Elise graphed the relationship between temperature and elevation for several cities. The x-coordinate is the elevation in meters and the y-coordinate is the temperature in { }^{\circ} \mathrm{C}.

Which quadrants could contain a point showing a city above sea level?

Choose 1 answer:

A. Quadrant I

B. Quadrant II

C. Quadrant III

D. Quadrant IV


6. A coordinate map of the local mini-golf course is shown below. The tee on the first hole is located at the point (-9,-7). The hole is located at the point (-5,-7).

Plot the tee and the hole on the map.

How far is the tee from the hole?


7. Mikoto graphed (shown below) the relationship between the temperature  \left(\text { in }^{\circ} \mathrm{C}\right) and her cat's change in weight (\operatorname{in} g) over the last 10 days.

What is the meaning of point A?

Choose 1 answer:

A. At 9^{\circ} \mathrm{C} below zero, Mikoto's cat lost 2 \mathrm{~g}.

B. At 9^{\circ} \mathrm{C} above zero, Mikoto's cat lost 2 \mathrm{~g}.

C. At 9^{\circ} \mathrm{C} below zero, Mikoto's cat gained 2 \mathrm{~g}.

D. At 9^{\circ} \mathrm{C} above zero, Mikoto's cat gained 2 \mathrm{~g}.