Question 1: Plot the point A with coordinates (3, 2) on the grid.

Answer: Plot at (3, 2).

Question 2: Plot the point B at (-4, -1).

Answer: Plot at (-4, -1).

Question 3: Plot the point C with coordinates (0, 0).

Answer: Plot at (0, 0).

Question 4: Plot the points D(5, -3) and E(-2, 4).

Answer: D at (5, -3), E at (-2, 4).

Question 5: Construct a triangle connecting points (1, 1), (4, 1), and (2, 4).

Answer: Vertices at (1,1), (4,1), (2,4).

Question 6: Calculate the distance between points (2, 3) and (5, 7).

Answer: Distance = √((5-2)^2 + (7-3)^2) = √(3^2 + 4^2) = √(9 + 16) = √25 = 5.

Question 7: Plot the point (−3, 2) and reflect it across the y-axis. Where is the reflected point?

Answer: Reflected across y-axis: (3, 2).

Question 8: Identify the error: The point plotted at (2, -3) is actually at (−2, 3). What's wrong?

Answer: The student plotted at (2, -3) instead of (−2, 3), which is the correct reflection across the y-axis.

Question 9: Plot the points (−1, −2), (3, −2), (3, 4), and (−1, 4). Connect them to form a rectangle.

Answer: Vertices at (−1,−2), (3,−2), (3,4), (−1,4).

Question 10: Plot the point (4, −1). If you move 2 units left and 3 units down, what are the new coordinates?

Answer: New point at (4−2, −1−3) = (2, -4).

Question 11: Plot the point (0, 5). What is its y-intercept in a linear equation y = mx + c?

Answer: The y-intercept c is 5.