Coordinate Plane Adventures: Graphs and Linear Patterns

1. A park is located at the point (3, 4) on a coordinate plane. If you walk 2 units to the right and 1 unit up, where will you be?

• (5, 5)

• (5, 4)

• (3, 3)

• (4, 5)

2. A line passes through the points (1, 2) and (3, 6). What is the slope of this line?

• 2

• 0

• 3

• 1

3. If a car travels from the point (0, 0) to (4, 5) on a coordinate grid, how many units does it move horizontally and vertically?

• 5 units horizontally and 4 units vertically

• 4 units horizontally and 5 units vertically

• 2 units horizontally and 7 units vertically

• 3 units horizontally and 6 units vertically

4. A store sells apples at the point (2, 3) on a graph. If the price of apples increases by $2, what will be the new point representing the price?

• (3, 3)

• (2, 4)

• (2, 6)

• (2, 5)

5. The temperature in a city is represented by the line y = 2x + 1. What is the temperature when x = 3?

• 4

• 5

• 7

• 10

6. A bike rental shop is located at (5, 2). If they add 3 more bikes, how does this affect their position on the graph?

• The position remains (5, 2).

• The position changes to (8, 2).

• The position changes to (2, 5).

• The position changes to (5, 5).

7. A line graph shows the number of books read by students over 4 months. If the points are (1, 5), (2, 10), and (3, 15), what is the pattern you observe?

• The number of books read remains constant each month.

• The number of books read increases by 10 each month.

• The number of books read decreases by 5 each month.

• The number of books read increases by 5 each month.

8. If a point on a graph is (6, 8) and you move down 3 units, what will be the new coordinates?

• (6, 11)

• (6, 5)

• (6, 0)

• (3, 8)

9. A farmer plots the growth of his crops on a graph. If the points are (1, 2), (2, 4), and (3, 6), what type of relationship does this show?

• Cyclical relationship

• Linear relationship

• Quadratic relationship

• Exponential relationship

10. A school is planning a field trip and plots the number of students attending on a graph. If the points are (1, 20), (2, 35), and (3, 50), what can you infer about the trend?

• The trend is increasing.

• The trend is decreasing.

• The trend is fluctuating.

• The trend is constant.