Finding Slope: Graphing Lines from Two Points

1. A park has two benches located at points A(2, 3) and B(6, 7). What is the slope of the line connecting these two benches?

• 0.5

• 3

• 2

• 1

2. If a car travels from point C(1, 2) to point D(4, 5), what is the slope of the road between these two points?

• 1

• 2

• 3

• 0.5

3. A mountain trail starts at point E(3, 4) and ends at point F(7, 10). Calculate the slope of the trail. How would you graph these points on a coordinate plane?

• The slope of the trail is 1.5.

• The slope of the trail is 0.5.

• The slope of the trail is 3.0.

• The slope of the trail is 2.0.

4. A bike path runs from point G(0, 0) to point H(5, 10). What is the slope of the bike path? Plot these points on a graph.

• The slope of the bike path is 2.

• The slope of the bike path is 3.

• The slope of the bike path is 0.5.

• The slope of the bike path is 1.

5. A line passes through points I(2, 1) and J(8, 5). Determine the slope and explain what this slope means in a real-world context.

• The slope of the line is 2/3.

• The slope of the line is 4/3.

• The slope of the line is 3/2.

• The slope of the line is 1/2.

6. A student plots points K(1, 3) and L(4, 6) on a graph. What is the slope of the line connecting these points?

• 0.5

• 1

• 2

• 3

7. A delivery truck moves from point M(3, 2) to point N(6, 8). What is the slope of the route taken? How would you represent this on a graph?

• 3

• 1

• 2

• 4

8. A straight road connects points O(2, 5) and P(10, 15). Find the slope of the road and describe its significance.

• The slope of the road is 4/5.

• The slope of the road is 1/2.

• The slope of the road is 3/2.

• The slope of the road is 5/4.

9. A line segment connects points Q(0, 0) and R(3, 9). What is the slope of this line? Graph the points and the line segment.

• The slope of the line is 2.

• The slope of the line is 4.

• The slope of the line is 1.5.

• The slope of the line is 3.

10. A gardener plants flowers at points S(1, 1) and T(4, 7). Calculate the slope of the line between these two points and discuss how this could relate to the garden's layout.

• The slope of the line between points S(1, 1) and T(4, 7) is 2.

• The slope of the line is 1.

• The slope of the line is 0.5.

• The slope of the line is 3.