### Home > APCALC > Chapter 4 > Lesson 4.4.2 > Problem4-150

4-150.

Write the equation of the line that is:

1. Tangent to the function $y = \frac { 3 x ^ { 2 } - 12 } { x + 2 }$ at $x = 1$.

Write the equation of the tangent line in point-slope form.

We know that the point of tangency happens at $x = 1$. Evaluate the function, $y$, to find the point.
Evaluate the derivative, $y^\prime$, to find the slope.

2. Perpendicular to the tangent line in part (a) at $x = 1$.

Definition: A 'normal line' is perpendicular to a tangent line at the point of tangency.