Tangent Line Calculator

Tangent line calculator is a free online tool that gives the slope and the equation of the tangent line. BYJU’S online tangent line calculator tool makes the calculations faster and easier where it displays the output in a fraction of seconds.

How to Use the Tangent Line Calculator?

The procedure to use the tangent line calculator is as follows:

Step 1: Enter the equation of the curve in the first input field and x value in the second input field

Step 2: Now click the button “Calculate” to get the output

Step 3: The slope value and the equation of the tangent line will be displayed in the new window

What is Tangent?

A tangent is a line that touches a curve at a point. The point where the curve and the line meet is called a point of tangency. The slope-intercept formula for a line is given by y = mx + b,


m is the slope of the line

b is the y-intercept

Also, read: Slope of a line

Standard Equation

The standard form to find the equation of a tangent line is defined by

y – y1 = m (x – x1)


(x1, y1) are the line coordinate points

m is the slope of the line

Frequently Asked Questions on Tangent Line

What is meant by point of tangency?

The point where the line and the curve meet is called the point of tangency.

What is the tangent line equation?

The equation of the tangent line can be found using the formula y – y1 = m (x – x1), where m is the slope and (x1, y1) is the coordinate points of the line.

State two tangent properties?

  • The tangent line to a circle is always perpendicular to the radius corresponding to the point of tangency.
  • The tangent always touches the circle at a single point.

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