Answer:
Step-by-step explanation:
If two lines given with slope [tex]m_{1}[/tex] and [tex]m_{2}[/tex] then the lines will be perpendicular to each other if
[tex]m_{1}[/tex] × [tex]m_{2}[/tex] = -1
Now we come to question, one line has been given with
[tex]m_{1}[/tex] = [tex](\frac{-5}{6})[/tex]
so slope of another line will be
[tex](\frac{-5}{6})[/tex] × [tex]m_{1}[/tex] = -1
[tex]m_{1}[/tex] = [tex]\frac{(-1)}{(\frac{-5}{6} )}[/tex]
= [tex](\frac{6}{5})[/tex]
so perpendicular line to the line having slope = [tex](\frac{-5}{6})[/tex] will be with the slope of [tex](\frac{6}{5})[/tex] irrespective of y-intercept made by the lines.
