Secant Line Calculator

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

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 $$$y = 4 x - 2$$$.

The equation of the secant line is $$$y = 4 x - 2$$$A.