Respuesta :
Answer:
[tex]y = - \frac{5}{6} - 5.5[/tex]
Step-by-step explanation:
Plug the information you have into Point-Slope form
[tex]y - y_{1} = m(x - x _{1})[/tex]
So it looks like this (Note that since you are looking for the perpendicular line, you'll use the slope of the reciprocal):
[tex]y - 2 = - \frac{5}{6} (x + 9)[/tex]
From here, convert to Slope-Intercept:
[tex] y - 2 = - \frac{5}{6} x - 7.5[/tex]
And you have the solution:
[tex]y = - \frac{5}{6} - 5.5[/tex]