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Let $(x_1, y_1)$ be the coordinates of a point on the parabola $x^2 = 4py$. The equation of the line tangent to the parabola at the point is

$y-y_2 = \dfrac{x_1}{2p}(x-x_1)$.

What is the slope of the tangent line?

$m=\frac{x_{1}}{2 p}$

Calculus 2 / BC

Precalculus

Geometry

Chapter 10

Topics in Analytic Geometry

Section 2

Introduction to Conics: Parabolas

Parametric Equations

Polar Coordinates

Introduction to Conic Sections

Parallel and Perpendicular lines

Johns Hopkins University

Missouri State University

University of Michigan - Ann Arbor

Utica College

Lectures

12:03

In mathematics, a theorem …

07:43

In mathematics, the tangen…

01:54

Find an equation of the ta…

01:33

Find the parabola with equ…

0:00

01:32

04:56

Equation of a Tangent Line…

02:08

Tangent line Find the equa…

01:44

01:17

01:22

Find an equation for the t…

01:15

Find the slope of the line…

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