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

Answer: 0

Question 2: Determine the gradient of a horizontal line.

Answer: 0

Question 3: Plot the graph of y= 4 (a horizontal line). What is its gradient?

Answer: 0

Question 4: If a line has a constant y-value of 7, what is its gradient?

Answer: 0

Question 5: A line segment between (3, 9) and (3, 2) is drawn. What is its gradient?

Answer: undefined

Question 6: Construct a line on the grid that has a zero gradient. Describe its position.

Answer: A horizontal line, for example, y= 3, across the grid.

Question 7: Explain why the gradient of a vertical line is considered undefined.

Answer: Because the change in x is zero, making the denominator of the gradient formula zero, which is undefined.

Question 8: A line passes through (1, 4) and (1, 10). Calculate its gradient. Is the gradient zero? Explain.

Answer: No, the gradient is undefined because the line is vertical.

Question 9: A graph shows a straight line with a constant y-value, y= 12. What is the gradient of this line? Justify your answer.

Answer: 0, because the line is horizontal and does not change y-value.

Question 10: Identify and correct the mistake in this statement: "The gradient of a horizontal line is undefined."

Answer: The gradient of a horizontal line is zero, not undefined.