Slope Skills: Calculate and Write Linear Equations

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?

• 3/8

• 8/3

• 2

• 5/3

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

• y = x + m

• y = mx + b

• y = mx - b

• y = b + mx

3. A bike path runs from point C (1, 2) to point D (4, 8). Calculate the slope of the bike path.

• 4

• 2

• 3

• 1

4. Write the equation of the bike path from question 3 in point-slope form using point C.

• y = mx + b

• y - y1 = m(x + x1)

• y - y1 = m(x - x1)

• y + y1 = m(x - x1)

5. A store's sales increased from $200 at 3 PM (point E) to $500 at 6 PM (point F). What is the slope of the sales over this time period?

• 150

• 200

• 300

• 100

6. Write a linear equation that represents the sales over time, using the slope from question 5 and point E.

• y = mx + b

• y = mx^2 + c

• y = mx + (y1 - mx1)

• y = m + x

7. A student scored 70 on their first test (point G) and 90 on their second test (point H). Find the slope of the student's score improvement.

• 10

• 20

• 50

• 30

8. Create a linear equation that models the student's score improvement, using the slope from question 7 and point G.

• y = mx + b

• y = mx - mx1 + y1

• y = mx1 + y1

• y = mx - y1 + mx1

9. A train travels from station X (0, 0) to station Y (10, 20). What is the slope of the train's route?

• 5

• 3

• 2

• 1

10. Write the equation of the train's route in standard form using the slope from question 9.

• Ax - By = C

• y = mx + b

• Ax + By = C

• C = Ax + By