Which of the following points lies on the line represented by the equation y = 2

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Question: Which of the following points lies on the line represented by the equation y = 2x + 1?

Options:

Correct Answer: (2, 5)

Solution:

Substituting x = 2 into the equation y = 2(2) + 1 gives y = 5, so the point (2, 5) lies on the line.

Which of the following points lies on the line represented by the equation y = 2x + 1?

Which of the following points lies on the line represented by the equation y = 2x + 1?

Step 1: Identify the equation of the line, which is y = 2x + 1.
Step 2: Choose a point to test if it lies on the line. In this case, we will test the point (2, 5).
Step 3: Substitute the x-value of the point (which is 2) into the equation. This means we replace x in the equation with 2.
Step 4: Calculate y by using the equation: y = 2(2) + 1.
Step 5: Perform the multiplication: 2(2) = 4.
Step 6: Add 1 to the result: 4 + 1 = 5.
Step 7: Compare the calculated y-value (which is 5) with the y-value of the point (which is also 5).
Step 8: Since both y-values are equal, the point (2, 5) lies on the line.

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