Question 1: Plot the graph of y=3x for x = 0 to 4. Use the grid to draw the correct straight line.

Answer: Line passing through (0,0), (1,3), (2,6), (3,9), (4,12)

Question 2: A student plots a graph intended to show y=2x, but the line is too steep. Identify the likely mistake made.

Answer: Incorrect scale on the y-axis, making the slope appear steeper.

Question 3: Draw a straight line connecting the points (1,2) and (4,8). Then, explain why the line is not representative of any constant speed scenario.

Answer: Because the slope between (1,2) and (4,8) is (8-2)/(4-1)=6/3=2, which is constant, so the line is correct for constant speed. If students give a misconception, expect explanation about non-constant speed or plotting errors.

Question 4: Construct a graph showing three different speeds: 1 unit/sec, 2 units/sec, and 3 units/sec, over the same time period (0-3 seconds). Use the grid to draw all three lines with distinct slopes.

Answer: Three lines with slopes: 1, 2, and 3 passing through (0,0), (1,1), (2,2), (3,3) and respective scaled lines.

Question 5: Identify the error in the following drawn graph: the line is supposed to represent y=4x, but it flattens between (1,4) and (2,8).

Answer: Incorrect plotting points or incorrect scale, causing a less steep line.

Question 6: A graph intended to show y=0.5x has a steeper slope than plotted. What common mistake might cause this?

Answer: Misreading the scale on the y-axis, making the slope appear steeper.

Question 7: Plot the points (0,0), (1,1), (2,2), and (3,3). Connect them with a straight line. Describe what this line represents in terms of speed.

Answer: Constant speed of 1 unit/sec, as the slope is 1.

Question 8: A student draws a line that shows y=2x but the line is not straight. What common drawing mistake could cause this?

Answer: Incorrectly connecting points or uneven plotting, leading to a non-linear connection.

Question 9: Plot the line y=1.5x for x = 0 to 3. Use the grid to draw the line accurately. Then, explain why accuracy in scaling is vital for correct slope representation.

Answer: Points: (0,0), (1,1.5), (2,3), (3,4.5). Proper scale ensures the slope is correctly depicted.

Question 10: Identify and correct the misconception in this scenario: a graph shows increasing distance over time but the line is curved downward, suggesting decreasing speed.

Answer: Misinterpretation of a curved line as a straight line; the graph actually shows acceleration/deceleration.