what are the letters is at the location of [tex] - 3 \tfrac{3}{4} [/tex]

A (third option)
Explanation:Each of the smaller tick marks in between the numbers = 1/4
[tex]\frac{1}{4}\times4\text{ (tick marks) = 1 point}[/tex][tex]-3\frac{3}{4}\text{ = -3 and }\frac{-3}{4}[/tex]This means the point will come after -3 towards the negative side
[tex]\begin{gathered} -\frac{3}{4}\text{ = 3 }\times\frac{-1}{4} \\ This\text{ means we would move the smaller tick marks 3 times after point -3} \end{gathered}[/tex]The point which is 3 tick marks movements after -3 ( towards the neagtive side of the line) is point A