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

Answer: -1

Question 2: Plot the graph of y = -2x + 3. Draw the line on the grid.

Answer: Students draw on grid

Question 3: Given the line with equation y = -0.5x + 4, determine its gradient.

Answer: -0.5

Question 4: Construct a triangle with vertices at (1, 3) and (4, -2). Draw the line segment between these points and calculate its gradient.

Answer: -5/3

Question 5: A line passes through the points (0, 7) and (3, 1). Is the gradient positive or negative? Find its value.

Answer: -2

Question 6: Plot the line y = -3x + 2 on the grid. Describe the slope in words.

Answer: The line slopes downwards from left to right

Question 7: Calculate the gradient of a line passing through (-2, 4) and (1, -2).

Answer: -2

Question 8: A graph shows a line with a negative gradient. The line passes through points (x, y1) and (x + 4, y2). If y2 is less than y1, is the gradient positive or negative? Calculate the gradient when y1= 8 and y2= 0.

Answer: -2

Question 9: A real-world scenario: A car is decreasing its distance from a point as it moves along a straight road. If the distance decreases from 10 km to 4 km over 3 hours, what is the rate of change (gradient) of the distance with respect to time?

Answer: -2 km/hour

Question 10: Error Analysis: A student calculates the gradient between points (2, 5) and (5, 2) as 3. Identify and correct the mistake in their calculation.

Answer: They subtracted x-values incorrectly; the correct gradient is -1

Question 11: Challenge & Extension: Find the equation of a line with a negative gradient of -3 passing through the point (2, -1). Plot this line on the grid.

Answer: y = -3x + 5