Answer:
m2=5/6 m=-6/5
Step-by-step explanation:
two axes are perpendicular if the product of their slopes is equal to minus 1
first we find the slope for the axis we are given
-6x-5y=-5
this can also be written as
y=[tex]\frac{-6}{5} x[/tex]+1
-6/5 is the slope
-6/5*m2=-1
m2=5/6
this is the slope for the perpendicular axis
two lines are parallel if their slopes are equal
the slope for our line is -6/5 so the slope for the parallel line is also -6/5
