2. Use the equation to complete the table. \( y=6 x+1 \)

To complete the table using the equation \( y = 6x + 1 \), simply substitute different values of \( x \) into the equation to find the corresponding \( y \) values. For example, if \( x = 0 \), then \( y = 6(0) + 1 = 1 \). If \( x = 1 \), \( y = 6(1) + 1 = 7 \). You can continue this process with various integers for \( x \), generating ordered pairs like (0, 1), (1, 7), or (2, 13). This linear equation provides insights into how quickly \( y \) increases as \( x \) does. Since the slope is 6, for every unit increase in \( x \), \( y \) increases by 6 units. This means a table you create will show a steep climb in \( y \) values as you move through positive integers for \( x \), making it clear this function represents a straight line when graphed.