### Home > PC3 > Chapter 10 > Lesson 10.2.2 > Problem10-135

10-135.

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 $x = 2$.

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

If $x = 2$, then $y = \:?$
Use the point and the given slope to write the equation of the tangent line.