An Equation of the Terminal Side of an Angle $\theta$ In Standard Position Is Given Along with a Restriction on In Standard

Multiple Choice

An equation of the terminal side of an angle $\theta$ in standard position is given along with a restriction on x. Find the
indicated trigonometric function value of $\theta$ . Do not use a calculator.
- $- 6 x - 5 y = 0 , x \leq 0 ; \quad$ Find $\sec \theta$

A) $- \frac { \sqrt { 61 } } { 5 }$

B) $- \frac { 5 \sqrt { 61 } } { 61 }$

C) $- \frac { 6 } { 5 }$

D) $- \frac { 5 } { 6 }$