# Secant Line Calculator

The calculator will find the equation of the secant line that intersects the given curve at the given points, with steps shown.

Related calculators: Line Calculator, Slope Intercept Form Calculator with Two Points

## Your Input

**Find the equation of the secant line that intersects the curve $$$f{\left(x \right)} = x^{2} + 1$$$ at $$$x_{1} = 1$$$ and $$$x_{2} = 3$$$.**

## Solution

Find the y-coordinates of the points on the curve that correspond to the given x-coordinates.

$$$y_{1} = f{\left(x_{1} \right)} = f{\left(1 \right)} = 2$$$

$$$y_{2} = f{\left(x_{2} \right)} = f{\left(3 \right)} = 10$$$

Since we have two points, we can use the line calculator to find the equation of the secant line through the two points.

Thus, the equation of the secant line is $$$y = 4 x - 2$$$.