Question

Which point does not lie on the graph of \(y=3 ?\) A (0,3) B (-3,3) C (3,-3) D \(\left(\frac{1}{3}, 3\right)\)

Short answer

The point that does not lie on the graph of y = 3 is point C (3, -3).

Step-by-step solution

Understand the equation

The equation y = 3 is a horizontal line in a two-dimensional graph. Across this line, for any x-value, the y-coordinate is always 3.

Check the y-coordinate of each point

Verify if the y-coordinate of each given point equals 3. \n \n Point A (0,3): The y-coordinate is 3. \n Point B (-3,3): The y-coordinate is 3. \n Point C (3,-3): The y-coordinate is -3.\n Point D \(\left(\frac{1}{3}, 3\right)\): The y-coordinate is 3.

Identify the point that does not satisfy the equation

From Step 2, we can see that only point C (3, -3) has a y-coordinate that is not equal to 3. Therefore, point C (3, -3) does not lie on the graph of y = 3.