Question

What is the slope of a line perpendicular to y=-3/4x-1

Answer 1

As given by the question

There are given that the equation

`y=-(3)/(4)x-1`

Now,

For find the slope of line perpendicular to given equation

The formula is:

`m_(perpendicular)=-(1)/(m)`

Here,

From the equation, the value of m is,

`m=-(3)/(4)`

Then,

Put the value of m into the above formula

So,

`\begin{gathered} m_(perpendicular)=-(1)/(m) \\ m_(perpendicular)=-(1)/(-(3)/(4)) \\ m_(perpendicular)=(4)/(3) \end{gathered}`

Hence, the correct option is C