Questions: Complete the table below to find solutions to the linear equation y=2x-5.

To complete the table and find solutions to the linear equation \( y = 2x - 5 \), we need to choose values for \( x \) and then calculate the corresponding \( y \) values using the given equation.

Let's choose a few values for \( x \) and compute \( y \):

1. When \( x = 0 \): \[ y = 2(0) - 5 = -5 \] So, the point is \( (0, -5) \).

2. When \( x = 1 \): \[ y = 2(1) - 5 = -3 \] So, the point is \( (1, -3) \).

3. When \( x = 2 \): \[ y = 2(2) - 5 = -1 \] So, the point is \( (2, -1) \).

4. When \( x = 3 \): \[ y = 2(3) - 5 = 1 \] So, the point is \( (3, 1) \).

5. When \( x = -1 \): \[ y = 2(-1) - 5 = -7 \] So, the point is \( (-1, -7) \).

Summarizing the points in a table:

\[ \begin{array}{|c|c|} \hline x & y \\ \hline 0 & -5 \\ 1 & -3 \\ 2 & -1 \\ 3 & 1 \\ -1 & -7 \\ \hline \end{array} \]

These points represent solutions to the linear equation \( y = 2x - 5 \).