The slope of the tangent line that touches the curve $y = 3x^{2} + 7$ at $x = 2$ is $12$.

1. Verify this is reasonable by sketching the function and drawing a tangent line to the curve at $x = 2$.

   Graph (a):

   

2. Use the information above to write the equation of the line tangent to the curve at x = 2.

   Hint (b):

   Use point-slope form.