An equation and two ordered pairs are given. Show that each pair is a solution to the equation. Then use the graph of the two points to determine another solution. \( y=x-1 ;(0,-1) \) and \( (1,0) \) Is \( (0,-1) \) a solution of \( y=x-1 \) ? Yes

To verify if \( (0, -1) \) is a solution to the equation \( y = x - 1 \), we can substitute \( x = 0 \) into the equation: \[ y = 0 - 1 = -1. \] Since the output \( y \) matches the ordered pair \( (0, -1) \), it is indeed a solution! Next, let's check \( (1, 0) \). Substituting \( x = 1 \) gives: \[ y = 1 - 1 = 0. \] This matches the ordered pair \( (1, 0) \), confirming it's also a solution! Now, if we plot these points on a graph, they align perfectly along the line defined by the equation. By examining this line, we can find another solution, such as \( (2, 1) \) where substituting \( x = 2 \) yields \( y = 2 - 1 = 1 \). So, \( (2, 1) \) is another solution!