Coordinate Challenges: Word Problems & Graphing Lines

1. A park is located at the point (3, 4) on a coordinate plane. If a playground is built at (3, 8), how far is the playground from the park?

• 2

• 4

• 6

• 5

2. A delivery truck starts at the origin (0, 0) and travels to the point (5, 2). What are the coordinates of the truck after it moves 3 units to the right and 1 unit up?

• (3, 4)

• (5, 2)

• (6, 2)

• (8, 3)

3. A school is located at (2, 3) and a library is at (6, 7). What is the distance between the school and the library?

• 4√2

• 3√3

• 5

• 2√5

4. If a line passes through the points (1, 2) and (4, 5), what is the slope of the line?

• 1

• 0

• 2

• -1

5. A farmer has a field represented by the points (1, 1), (1, 5), (5, 5), and (5, 1). What is the area of the field?

• 10

• 20

• 12

• 16

6. A car travels from (2, 3) to (8, 3). If the car continues in a straight line, what will be the coordinates after moving 2 units to the right?

• (6, 3)

• (8, 5)

• (4, 3)

• (2, 5)

7. A store is located at (4, 1) and a customer is at (4, 5). How many units does the customer need to move to reach the store?

• 4 units

• 2 units

• 5 units

• 3 units

8. If a line has a y-intercept of 2 and passes through the point (3, 5), what is the equation of the line in slope-intercept form?

• y = 2x + 1

• y = 3x - 1

• y = -x + 2

• y = x + 2

9. A bike path runs from (0, 0) to (6, 4). What is the slope of the bike path?

• 3/2

• 2/3

• 1/2

• 4/3

10. A point is located at (3, 7). If it moves 2 units left and 3 units down, what are the new coordinates of the point?

• (5, 10)

• (3, 4)

• (1, 7)

• (1, 4)