Slope and Y-Intercept: 7th Grade Math 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

• 1

• 3

• 0

2. The equation of a line is given as y = 4x + 2. What is the y-intercept of this line?

• -2

• 0

• 2

• 4

3. A gardener plants flowers in a straight line. If the first flower is at (1, 2) and the second flower is at (3, 6), what is the slope of the line formed by these two points?

• 4

• 2

• 1

• 3

4. The equation of a line representing the cost of apples is y = 1.5x + 3. What does the y-intercept represent in this context?

• The y-intercept represents the fixed cost of purchasing apples, which is 3.

• The y-intercept shows the maximum number of apples that can be bought.

• The y-intercept represents the total cost of apples when x is zero.

• The y-intercept indicates the price per apple, which is 1.5.

5. A bike rental shop charges a flat fee of $5 plus $2 for each hour rented. Write the equation for the total cost and identify the y-intercept.

• C = 2h; y-intercept = 0

• C = 5 + 2h; y-intercept = 5

• C = 5h + 5; y-intercept = 10

• C = 5 + h; y-intercept = 5

6. A student scores 70 points on their first test and 90 points on their second test. If these scores are plotted on a graph, what is the slope of the line connecting these two points?

• 10

• 20

• 30

• 50

7. The line representing the distance a runner covers over time is given by the equation y = 3x + 1. What is the slope and what does it represent?

• The slope is 1, representing the total distance covered.

• The slope is 3, representing the time taken per unit of distance.

• The slope is 5, representing the distance covered per hour.

• The slope is 3, representing the distance covered per unit of time.

8. A store sells notebooks for $2 each and has a fixed cost of $10. Write the equation for the total cost and identify the y-intercept.

• C = 3n + 10; y-intercept = 10

• C = 2n + 5; y-intercept = 5

• C = 2n + 15; y-intercept = 15

• C = 2n + 10; y-intercept = 10

9. If a line passes through the points (0, -1) and (4, 3), calculate the slope of the line.

• 1

• 2

• 0.5

• -1

10. The equation of a line is y = -2x + 5. What is the y-intercept and what does it signify in a real-world scenario?

• The y-intercept is 0.

• The y-intercept is 5.

• The y-intercept is 10.

• The y-intercept is -2.