Write the slope intercept equation through the point (-2,3) and it’s perpendicular to the line: y=3-x

Data:
• A(-2,3)
,• Perpendicular to the line:, y = 3 - x
Procedure:
0. Finding the slope (, m ,):
[tex]m=-\frac{1}{m_{perpendicular}}=-\frac{1}{-1}=\frac{1}{1}=1[/tex]2. Finding parameter b with point A:
[tex]\begin{gathered} y=mx+b \\ 3=(1)\cdot-2+b \\ 3=-2+b \\ b=5 \end{gathered}[/tex]Answer:
[tex]y=x+5[/tex]