Evaluate the Line Integral Over the Given Curve $C$ $$\int _ { C } ( 5 x + 4 y ) d s ; C : \mathbf { r } ( t ) = ( t - 5 ) \mathbf { i } + t \mathbf { j } , 0 \leq t \leq 3$$

Multiple Choice

Evaluate the line integral over the given curve $C$ .
$$\int _ { C } ( 5 x + 4 y ) d s ; C : \mathbf { r } ( t ) = ( t - 5 ) \mathbf { i } + t \mathbf { j } , 0 \leq t \leq 3$$

A) $- \frac { 9 } { 2 }$
B) $- \frac { 69 } { 2 } \sqrt { 2 }$
C) $\frac { 231 } { 2 } \sqrt { 2 }$
D) $\frac { 81 } { 2 }$