Finding Slope & Writing Equations from Two Points

1. A car travels from point A (2, 3) to point B (6, 7). What is the slope of the line connecting these two points?

• 2

• 1

• 3

• 0.5

3. A bike rental shop has two locations. The first location has 5 bikes at (1, 5) and the second location has 15 bikes at (4, 15). Calculate the slope of the line that represents the change in bike availability.

• 2/5

• 3

• 5

• 10/3

4. Write the linear equation that models the bike availability between the two locations from question 3.

• y = mx + b

• y = m + b

• y = mx^2 + b

• y = ax^2 + c

5. A store sells 10 items for $20 at point (0, 20) and 30 items for $50 at point (5, 50). What is the slope of the line representing the price per item?

• -0.066

• 0.2

• 0.066

• -0.5

6. Write the linear equation that represents the relationship between the number of items sold and the total price from question 5.

• y = x + p

• y = x / p

• y = p - x

• y = px

7. A student scores 70% on their first test at (1, 70) and 90% on their second test at (3, 90). Calculate the slope of the line that represents their test scores over time.

• 5

• 15

• 20

• 10

8. Using the points from question 7, write the linear equation that models the student's test scores.

• y = mx + b

• y = x^2 + b

• y = ax + c

• y = mx^2 + b

9. A gardener plants flowers in two rows. The first row has 4 flowers at (2, 4) and the second row has 12 flowers at (6, 12). What is the slope of the line connecting these two points?

• 4

• 3

• 2

• 1