Distance and Slope Adventures in the Coordinate Plane

1. A park is located at point A(2, 3) and a playground is at point B(5, 7). What is the distance between the park and the playground?

• 5

• 3

• 4

• 7

2. A school is at point C(-1, -2) and a library is at point D(3, 1). Calculate the distance between the school and the library.

• 5

• 4

• 7

• 3

3. A line passes through points E(1, 2) and F(4, 5). What is the slope of the line connecting these two points?

• 0

• 1

• 2

• -1

4. A bike path runs from point G(0, 0) to point H(6, 4). Determine the slope of the bike path.

• 3/4

• 1/2

• 4/3

• 2/3

5. A store is located at point I(3, 4) and a restaurant is at point J(7, 8). How far apart are the store and the restaurant?

• 5

• 6√2

• 3√2

• 4√2

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

• 1

• 0.5

• -0.5

• 2

7. A farmer has a field at point M(1, 1) and a barn at point N(4, 5). Calculate the distance between the field and the barn.

• 5

• 3

• 7

• 6

8. A train travels from station O(2, 3) to station P(5, 6). What is the slope of the line representing the train's path?

• 1

• 0.5

• 2

• 3

9. A zoo is located at point Q(0, 0) and an aquarium is at point R(3, 3). Find the distance between the zoo and the aquarium.

• 3

• 6

• 2√3

• 3√2

10. A line passes through points S(-1, -1) and T(2, 2). Determine the slope of the line connecting these two points.

• -1

• 2

• 0

• 1