# How do I find the tangent line of a function?

Sep 28, 2014

You find the tangent line of a function by finding the derivative, the slope, of that function at a specific point.

That point is called the point of tangency.

Substitute that point and the derivative into the slope intercept formula, $y = m x + b$, to find the $y$-intercept.

Lastly, the equation of the tangent line is found by substituting in the derivative and $y$-intercept into the slope intercept formula, $y = m x + b$.