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 \(2 \mathrm{~g}\).