One set of ordered pair which belongs to a straight line represented by an equation y = 2x - 1 is _______

Options

A. (1, 1)
B. (2, 1)
C. (1, 2)
D. (3, 1)

Answer

To find one set of ordered pairs that belongs to the straight line represented by the equation \( y = 2x - 1 \), we can substitute different values of \( x \) into the equation and calculate the corresponding \( y \) values.

### Step-by-Step Solution:

1. **Choose a value for \( x \)**:
Let's start by choosing \( x = 1 \).

2. **Substitute \( x \) into the equation**:
Substitute \( x = 1 \) into the equation \( y = 2x - 1 \):
\[ y = 2(1) - 1 \]

3. **Calculate \( y \)**:
Simplifying the equation gives:
\[ y = 2 - 1 = 1 \]

4. **Form the ordered pair**:
The ordered pair corresponding to \( x = 1 \) is:
\[ (1, 1) \]

5. **Verify the ordered pair**:
To verify, substitute \( x = 1 \) back into the original equation:
\[ y = 2(1) - 1 = 1 \]
Since both sides of the equation are equal, the ordered pair \( (1, 1) \) satisfies the equation.

### Conclusion:
One set of ordered pair which belongs to the straight line represented by the equation \( y = 2x - 1 \) is \( (1, 1) \).

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