Question 1: Given a point (3, 2) and a gradient m = 4, write the equation of the line using y - y₁ = m(x - x₁).

Answer: y - 2 = 4(x - 3)

Question 2: Plot the line that passes through the point (1, -1) with a gradient of -2 on the grid.

Answer: Student draws line passing through (1,-1) with slope -2

Question 3: Calculate the equation of the line passing through (0, 5) with a gradient of 3.

Answer: y - 5 = 3(x - 0) or y = 3x + 5

Question 4: Construct a line on the grid that passes through (2, 3) and has a gradient of -1/2.

Answer: Line passing through (2,3) with slope -1/2

Question 5: Write the equation of a line passing through (4, -2) with a gradient of 0 (horizontal line).

Answer: y - (-2) = 0(x - 4) or y = -2

Question 6: Plot the line passing through (-1, 0) with gradient 2/3 on the grid.

Answer: Student draws line through (-1,0) with slope 2/3

Question 7: Find the equation of the line that passes through (5, 7) and has a gradient of -3.

Answer: y - 7 = -3(x - 5)

Question 8: Construct a line on the grid that passes through (0, 0) with a gradient of 1/2.

Answer: Line passing through (0,0) with slope 1/2

Question 9: Determine the equation of a line passing through (2, -3) with gradient 0.5.

Answer: y + 3 = 0.5(x - 2)

Question 10: Plot and draw the line that passes through (-2, 4) with a gradient of 2 on the grid.

Answer: Student plots line through (-2,4) with slope 2

Question 11: A line passes through (1, 1) and has a gradient of -1/3. Write its equation.

Answer: y - 1 = -1/3(x - 1)

Question 12: Identify and correct the mistake: A student writes y + 2 = 2(x - 3) for a line through (3, -2) with gradient 2.

Answer: Incorrect sign; correct form is y - (-2) = 2(x - 3)