Write each equation in the slope-intercept form, \( y=m x+b \). \[ \begin{array}{l} x+2=y \\ y-x=-3 \end{array} \quad \rightarrow \quad \begin{array}{l} y=x+2 \\ y=x-3 \end{array} \] Determine the slopes of the lines. Select the correct choice below and, if necessang, fill in the answer bo A. The slopes, \( \square \), are different. (Use a comma to separate answers as needed.) B. The slope, 1 , is the same. The \( y \)-intercepts, \( (0,2) \) and Type an ordered pair.) \( \square \) . 4 e \( \square \) Thus, the lines \( \square \) parallel.

The first equation can be rearranged into the slope-intercept form by simply isolating \( y \) on one side. For \( x + 2 = y \), it becomes \( y = x + 2 \). The second equation, \( y - x = -3 \), can be rewritten as \( y = x - 3 \). Both lines have a slope of 1! As for the slopes, both lines have the same slope of 1, so the correct choice is B. The slope, 1, is the same. The \( y \)-intercepts for these lines are \( (0, 2) \) for the first equation and \( (0, -3) \) for the second. Thus, the lines are not parallel since their slopes are equal. So, the completed statements would be: - The slopes are: \( 1, 1 \) - The \( y \)-intercepts, \( (0, 2) \) and \( (0, -3) \). - Thus, the lines are not parallel.