Mastering Slope: Linear Equations & Word Problems Quiz

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?

• 1

• 3

• 0.5

• 2

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

• y = mx + b

• y = b + mx

• y = x + m

• y = mx - b

3. A bike path runs from point C (1, 2) to point D (4, 5). Calculate the slope of the bike path.

• 2

• 0.5

• 3

• 1

4. If the bike path from question 3 is represented by the equation y = mx + b, what is the value of m?

• m = y1 + y2

• m = x1 - x2

• m = (x2 + x1) / (y2 - y1)

• m = (y2 - y1) / (x2 - x1)

5. A store's sales increased from $200 at month 1 to $500 at month 5. Find the slope of the sales increase.

• 150

• 100

• 75

• 50

6. Write the linear equation that represents the store's sales over time, using the slope from question 5.

• sales = m + bt

• sales = mt - b

• sales = b + mt

• sales = mt + b

7. A student scored 70 on their first test and 90 on their fourth test. Determine the slope of the student's score increase.

• 5.00

• 10.00

• 6.67

• 8.00

8. Based on the slope from question 7, write the equation that models the student's test scores over time.

• y = at^2 + bt + c

• y = kx + c

• y = bx + a

• y = mt + b

9. A gardener measures the height of a plant at two points: 3 cm at day 1 and 9 cm at day 4. What is the slope of the plant's growth?

• 1 cm/day

• 3 cm/day

• 2 cm/day

• 4 cm/day

10. Using the slope from question 9, write a linear equation that represents the height of the plant over the days.

• h = 2x + 5

• height = days + slope

• y = b + mx

• y = mx + b