As given by the question
There are given that the equation
[tex]y=-\frac{3}{4}x-1[/tex]
Now,
For find the slope of line perpendicular to given equation
The formula is:
[tex]m_{perpendicular}=-\frac{1}{m}[/tex]
Here,
From the equation, the value of m is,
[tex]m=-\frac{3}{4}[/tex]
Then,
Put the value of m into the above formula
So,
[tex]\begin{gathered} m_{perpendicular}=-\frac{1}{m} \\ m_{perpendicular}=-\frac{1}{-\frac{3}{4}} \\ m_{perpendicular}=\frac{4}{3} \end{gathered}[/tex]
Hence, the correct option is C
