Slope & Point-Slope Equations: 8th Grade Challenges

1. A car travels from point A (2, 3) to point B (5, 9). What is the slope of the line connecting these two points?

• 2

• 0

• 1

• 3

Tags

CCSS.8.EE.B.5

2. Using the slope you found in question 1, write the equation of the line in point-slope form using point A (2, 3).

• y - 3 = m(x + 2)

• y + 3 = m(x - 2)

• y - 2 = m(x - 3)

• y - 3 = m(x - 2)

3. A gardener is planting flowers in a straight line. If the first flower is planted at (1, 2) and the second at (4, 5), what is the slope of the line formed by these two points?

• 2

• 1

• 0

• -1

Tags

CCSS.8.EE.B.5

4. Write the equation of the line in point-slope form using the first flower's position (1, 2) and the slope you calculated in question 3.

• y - 1 = m(x - 2)

• y + 2 = m(x + 1)

• y - 2 = m(x - 1)

• y = mx + 2

5. A cyclist rides from point C (3, 4) to point D (6, 10). Calculate the slope of the line between these two points.

• 2

• 1

• 3

• 4

Tags

CCSS.8.EE.B.5

6. Write the equation of the line in point-slope form using point C (3, 4) and the slope from question 5.

• y = mx + 4

• y - 4 = m(x - 3)

• y - 3 = m(x - 4)

• y = m(x + 3) + 4

7. A student scores 70 on their first test and 85 on their second test. If we consider the test number as the x-coordinate and the score as the y-coordinate, what is the slope of the line connecting these two points (1, 70) and (2, 85)?

• 25

• 15

• 20

• 10

Tags

CCSS.8.EE.B.5

8. Write the equation of the line in point-slope form using the first test score (1, 70) and the slope from question 7.

• y - 70 = m(x + 1)

• y + 70 = m(x - 1)

• y = mx + 70

• y - 70 = m(x - 1)

9. A store sells 10 items for $50 and 20 items for $90. What is the slope of the line that represents the relationship between the number of items sold and the total cost?

• 2

• 8

• 6

• 4

Tags

CCSS.8.EE.B.5

10. Write the equation of the line in point-slope form using the first point (10, 50) and the slope you calculated in question 9.

• y + 50 = m(x + 10)

• y = mx + 50

• y - 10 = m(x - 50)

• y - 50 = m(x - 10)