Question

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

Answer 1

Data:

• A(-2,3)

,

• Perpendicular to the line:, y = 3 - x

Procedure:

0. Finding the slope (, m ,):

`m=-(1)/(m_(perpendicular))=-(1)/(-1)=(1)/(1)=1`

2. Finding parameter b with point A:

`\begin{gathered} y=mx+b \\ 3=(1)\cdot-2+b \\ 3=-2+b \\ b=5 \end{gathered}`

Answer:

`y=x+5`