Question

Which equation represents the line that contains the point (-2, 9) and is perpendicular to the line y = 2x + 6?

Answer 1

It should be of the form
\[

y=-\frac 1 2 x + b
\]
Find b so that the line goews through (-2,9)

Answer 2

\[
9 = -\frac 1 2 (-2) +b \\
9=1+b\\
b=8
\]

Answer 3

Final Answer is
\[
y=-\frac 1 2 x +8
\]