What Is the Tangent Line Equation? - Calculus Help.

Free line equation calculator - find the equation of a line given two points, a slope, or intercept step-by-step This website uses cookies to ensure you get the best experience. By using this website, you agree to our Cookie Policy.

Equation of a Line from 2 Points. First, let's see it in action. Here are two points (you can drag them) and the equation of the line through them. Explanations follow. The Points. We use Cartesian Coordinates to mark a point on a graph by how far along and how far up it is: Example: The point (12,5) is 12 units along, and 5 units up Steps.

Explanation:. First we find the slope of the tangent line by taking the derivative of the function and plugging in the -value of the point where we want to know the slope:. Now that we know the slope of the tangent line, we can plug it into the equation for a line along with the coordinates of the given point in order to calculate the -intercept:. We now have and, so we can write the.

The tangent line touches the circle at. The radius of the circle is perpendicular to the tangent at the point of contact. The product of the gradient of the radius and the gradient of the tangent line is equal to. How to determine the equation of a tangent: Determine the equation of the circle and write it in the form.

Students are often asked to find the equation of a line that is parallel to another line and that passes through a point. Watch the video tutorial below to understand how to do these problems and, if you want, download this free worksheet if you want some extra practice.