Answer:
[tex]\frac{6}{5}[/tex]
Step-by-step explanation:
*Perpendicular lines have negative reciprocals slopes*
First, find the slope-intercept form of 5x + 6y = -54:
5x + 6y = -54
-5x -5x
6y = -5x - 54
/6 /6
y = [tex]-\frac{5}{6}x[/tex] - 9
y = mx + b
So, the reciprocal slope of m = [tex]-\frac{5}{6}[/tex] is m = [tex]\frac{6}{5}[/tex]
Hope this helps!
