Respuesta :

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]