Find an equation of the tangent line to the parabola y x at

Last updated: 2/10/2023

Find an equation of the tangent line to the parabola y x at the point P 2 3 5 29 Start by calculating the slope of the secant line PQ for different points Q that get closer to the point P 2 3 5 29 Fill in this table similar to those in this example by calculating the slope of the tangent lines through P and the point Q x x for the values of a provided in the table mpQ 3 x 2 5 2 4 2 31 2 301 2 3001 Based on the values in this table it appears the slope of the tangent line should be m Now that you have the slope m of the tangent line and a point P 2 3 5 29 on the tangent line you can find the equation of the line tangent line is