Question 1: Calculate the gradient of the line passing through points (2, 5) and (6, 9).

Answer: 1

Question 2: Find the gradient between the points (-3, 4) and (1, -2).

Answer: -1.5

Question 3: Determine the gradient of the line passing through (0, 0) and (4, 8).

Answer: 2

Question 4: Calculate the gradient between two points where y increases by 6 as x increases by 3.

Answer: 2

Question 5: A line passes through (1, 2) and (4, 8). What is its gradient?

Answer: 2

Question 6: A slope of 0 indicates a particular type of line. Which one?

Answer: Horizontal

Question 7: Plot the graph of y = 3x + 2 on the grid provided. (Note: students draw on grid)

Answer: Students plot the line with slope 3 and y-intercept 2.

Question 8: Construct a triangle with vertices at (0, 0), (4, 4), and (2, 6). Calculate the gradient of the side between (0, 0) and (4, 4).

Answer: 1

Question 9: If a line passes through points (x₁, y₁) and (x₂, y₂), and the gradient is -2, what is the relationship between y₂ and y₁ if x₂ - x₁ = 4?

Answer: y₂ = y₁ - 8

Question 10: Find the gradient of the line passing through points (5, 10) and (5, 20). Comment on the gradient and the nature of the line.

Answer: Undefined; vertical line

Question 11: Identify and correct the mistake in the following calculation: The gradient between (1, 2) and (3, 6) is rac{6-2}{3-1} = 2.

Answer: Incorrect; gradient = (6-2)/(3-1) = 4/2 = 2, so calculation is correct.