Which of the following points lie on the line that contains the points P (3, 3) and Q (9, 21)?

Answer: B and C

Step-by-step explanation:The line that contains the points P (3, 3) and Q (9, 21) can be represented by the equation y = 3x + 6 1. To determine which of the following points lie on this line, we can substitute the x and y coordinates of each point into the equation and check if it holds true.

Let’s start with point A (1, 5). Substituting x = 1 and y = 5 in the equation, we get:

5 = 3(1) + 6

This is not true. Therefore, point A does not lie on the line.

Next, let’s check point B (6, 15). Substituting x = 6 and y = 15 in the equation, we get:

15 = 3(6) + 6

This is true. Therefore, point B lies on the line.

Finally, let’s check point C (12, 33). Substituting x = 12 and y = 33 in the equation, we get:

33 = 3(12) + 6

This is true. Therefore, point C lies on the line.

Therefore, points B and C lie on the line that contains points P and Q.