Mastering Slope and Equation Writing: Word Problems for 8th Graders

1. A car travels from point A (2, 3) to point B (5, 11). What is the slope of the line connecting these two points?

• 2

• 5

• 8/3

• 3/8

2. Using the slope from question 1, write the equation of the line in slope-intercept form.

• y = b + mx

• y = mx + b

• y = x + m

• y = mx - b

3. A bike rental shop charges a flat fee of $10 plus $2 for each hour rented. If the cost is represented by the points (0, 10) and (5, 20), calculate the slope of the line that represents the cost.

• 1

• 2

• 3

• 5

4. Write the equation in slope-intercept form for the bike rental shop's cost based on the points from question 3.

• y = 3x + 15

• y = mx + b (specific values depend on the points from question 3)

• y = 2x - 5

• y = x + 10

5. A student scores 70 on their first test and 90 on their second test. If these scores are represented by the points (1, 70) and (2, 90), what is the slope of the line connecting these points?

• 15

• 20

• 30

• 25

6. Write the equation in slope-intercept form for the student's test scores using the slope from question 5.

• y = m + b

• y = b + mx

• y = mx^2 + c

• y = mx + b

7. A gardener plants flowers in two different rows. The first row has 4 flowers at the 1-meter mark and 10 flowers at the 3-meter mark. Calculate the slope of the line that represents the number of flowers per meter.

• 5

• 2

• 3

• 4

8. Using the slope from question 7, write the equation in slope-intercept form for the number of flowers planted per meter.

• y = b + mx

• y = mx + b

• y = mx^2 + b

• y = m + bx

9. A store sells 3 shirts for $45 and 5 shirts for $75. Determine the slope of the line that represents the cost per shirt.

• 10

• 25

• 15

• 20

10. Write the equation in slope-intercept form for the cost of shirts based on the points from question 9.

• y = b + mx

• y = mx - b

• y = m + b

• y = mx + b (specific values depend on points from question 9)