Review of the Coordinate Plane

Coordinate plane problems in all four quadrants - Questions

Answers

1. C. Quadrant III

An temperature of \(2^{\circ} \mathrm{C}\) below zero would be to the left of the \(y\)-axis.

A decrease of \(7\) people sledding would be below the \(x\)-axis.

The point shows the coordinates \((-2, -7)\).

The point showing a temperature \(2^{\circ} \mathrm{C}\) below zero and a decrease of \(7\) people sledding is in Quadrant III.


2. \(8\) hours.

Let's plot the two points representing the temperatures at two different times of the day: \((-1,6) \) and \((7,6)\)

\(8\) hours pass before the temperature returns to \(6\) degrees Celsius.


3. \(7^{\circ} \mathrm{C}\).

Let's find the point that represents the city with an elevation of \(-9 \text { m }\).

Now, we look at the \(y\)-axis to find the temperature in that city.

The temperature in the city with an elevation of \(-9 \text { m }\) was \(7^{\circ} \mathrm{C}\).

4. \( (6,-4)\)

The hospital is \(8\) units from the school.

The the ice cream shop will be \(\frac {8}{2} = 4\) units away from both the school and hospital.

Mei should graph the ice cream shop at coordinates \((6,-4)\).


5. A. Quadrant I, D. Quadrant IV

An elevation above sea level would be to the right of the \(y\)-axis.

Any point that has a positive \(x\)-coordinate represents a city above sea level.

The points showing a city above sea level are in Quadrant I and Quadrant IV.


6. \(4\) units apart.

Let's plot the two points representing the tee and the hole: \((-9,-7)\) and \((-5,-7)\).

The tee and the hole are \(4\) units apart.


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

Point \(A\) is at \(-9^{\circ} \mathrm{C}\) and \(2 \mathrm{~g}\)

Point \(A\) tells us at \(9^{\circ} \mathrm{C}\) below zero, Mikoto's cat lost \(2 \mathrm{~g}\).