Solve the Problem $x + y ^ { 2 } + 7 z = 9$

Multiple Choice

Solve the problem.
-Write parametric equations for the tangent line to the curve of intersection of the surfaces $x + y ^ { 2 } + 7 z = 9$ and $x = 1$ at the point $( 1,1,1 )$ .

A) x = 1, y = 7t + 1, z = -2t + 1
B) x = 1, y = 14t + 1, z = -t + 1
C) x = 1, y = 7t + 1, z = -t + 1
D) x = 1, y = 14t + 1, z = -2t + 1