# Lesson 11

Points on the Coordinate Plane

### Problem 1

1. Graph these points in the coordinate plane: $$(\text-2,3)$$, $$(2,3)$$, $$(\text-2, \text-3)$$, $$(2, \text-3)$$.

2. Connect all of the points. Describe the figure.

### Solution

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### Problem 2

Write the coordinates of each point.

### Solution

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### Problem 3

These three points form a horizontal line: $$(\text-3.5, 4)$$, $$(0, 4)$$, and $$(6.2, 4)$$. Name two additional points that fall on this line.

### Solution

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### Problem 4

One night, it is $$24^\circ\text{C}$$ warmer in Tucson than it was in Minneapolis. If the temperatures in Tucson and Minneapolis are opposites, what is the temperature in Tucson?

A:

$$\text-24^\circ\text{C}$$

B:

$$\text-12^\circ\text{C}$$

C:

$$12^\circ\text{C}$$

D:

$$24^\circ\text{C}$$

### Solution

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(From Unit 7, Lesson 2.)

### Problem 5

Lin ran 29 meters in 10 seconds. She ran at a constant speed.

1. How far did Lin run every second?
2. At this rate, how far can she run in 1 minute?

### Solution

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(From Unit 2, Lesson 9.)

### Problem 6

Noah is helping his band sell boxes of chocolate to fund a field trip. Each box contains 20 bars and each bar sells for \$1.50.

1. Complete the table for values of $$m$$.
boxes sold $$(b)$$ money collected $$(m)$$
1
2
3
4
5
6
7
8
2. Write an equation for the amount of money, $$m$$, that will be collected if $$b$$ boxes of chocolate bars are sold. Which is the independent variable and which is the dependent variable in your equation?
3. Write an equation for the number of boxes, $$b$$, that were sold if $$m$$ dollars were collected. Which is the independent variable and which is the dependent variable in your equation?

### Solution

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(From Unit 6, Lesson 16.)