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 Is \( (1,0) \) a solution of \( y=x-1 \) ? Yes

To confirm that \( (0, -1) \) is a solution of \( y = x - 1 \), substitute \( x = 0 \) into the equation: \( y = 0 - 1 = -1 \). Since this matches the \( y \)-coordinate of the ordered pair, \( (0, -1) \) is indeed a solution! Now, for \( (1, 0) \), substitute \( x = 1 \): \( y = 1 - 1 = 0 \). This also aligns perfectly with the ordered pair. Both points are solutions! To find another solution, you could apply any value for \( x \), such as \( x = 2 \). Plugging it into the equation gives \( y = 2 - 1 = 1 \), leading to the solution \( (2, 1) \). Graphically, you'll find this new point directly on the line defined by the equation!