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