Question

The graph of the straight line \( y = 2x - 3 \) passes through which of the following points?

• A. \( (2, 2) \)
• B. \( (3, 4) \)
• C. \( (4, 1) \)
• D. \( (5, 7) \)

Hint:

To verify if a point lies on a line, substitute \(x\) and \(y\) into the line's equation and check if the equality holds.

Answer 1

The Correct Option is D

Step 1: Use the line equation \( y = 2x - 3 \).
A point \( (x, y) \) lies on the line if its coordinates satisfy the equation \( y = 2x - 3 \).
Step 2: Check each option.
For \( (2,2) \): \( 2x-3 = 2\cdot 2 - 3 = 1 \neq 2 \). Not on the line.
For \( (3,4) \): \( 2\cdot 3 - 3 = 3 \neq 4 \). Not on the line.
For \( (4,1) \): \( 2\cdot 4 - 3 = 5 \neq 1 \). Not on the line.
For \( (5,7) \): \( 2\cdot 5 - 3 = 10 - 3 = 7 \). Satisfied.
Step 3: Conclude.
Hence, the line passes through \( (5, 7) \).