Slope and Equation Challenges 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?

• 5

• 8/3

• 3/8

• 2

Tags

CCSS.8.EE.B.5

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

• y = mx + b

• y = b + mx

• y = m + bx

• y = mx^2 + b

3. A bike rental shop has two locations. The first location is at (1, 2) and the second at (4, 8). Calculate the slope of the line that connects these two locations.

• 2

• 3

• 5

• 1

Tags

CCSS.8.EE.B.5

4. Write the equation in slope-intercept form for the line that connects the bike rental shop locations from question 3.

• y = 2x + 3 (a specific line equation)

• y = ax + c (where a and c are arbitrary constants)

• x = 5 (a vertical line equation)

• y = mx + b (where m and b are calculated from the given points)

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

• 25

• 30

• 15

• 20

Tags

CCSS.HSF-IF.C.7A

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

• y = x + 3

• y = 2x + 3

• y = 3x + 2

• y = 2x - 1

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

7. A gardener plants flowers in two rows. The first row has flowers planted at (0, 1) and the second row at (3, 7). Calculate the slope of the line connecting these two rows.

• 4

• 3

• 2

• 1

Tags

CCSS.8.EE.B.5

9. A train travels from station X at (0, 0) to station Y at (6, 12). What is the slope of the line representing the train's path?

• 3

• 2

• 4

• 1

Tags

CCSS.8.EE.B.5