Find an Equation for the Line Tangent to the Curve $$x = 10 t ^ { 2 } - 7 , y = t ^ { 3 } , t = 1$$

Multiple Choice

Find an equation for the line tangent to the curve at the point defined by the given value of t.
- $$x = 10 t ^ { 2 } - 7 , y = t ^ { 3 } , t = 1$$

A) $y = \frac { 3 } { 20 } x - \frac { 11 } { 20 }$
B) $y = \frac { 3 } { 10 } x + 1$
C) $y = \frac { 20 } { 3 } x - \frac { 11 } { 20 }$
D) $y = \frac { 3 } { 20 } x + \frac { 11 } { 20 }$