Answer:
[tex]y-9=-\frac{3}{7} (x+4)[/tex]
Step-by-step explanation:
Slopes are negative reciprocals when two lines are perpendicular
[tex]m= - \frac {3}{7}[/tex]
Equation of straight line in point-slope form is given as
[tex]y-y_1=m(x-x_2)[/tex]
Here [tex](x_1, y_1)= (-4, 9)[/tex]
[tex]y-9=-\frac{3}{7} (x+4)[/tex]