please show your work 20 Let fx 3x2 2x 1 Write an equatio

please show your work!

(20%) Let f(x) = 3x2 - 2x + 1. Write an equation of the line going through the points (1, f(1)) and (2. f(2)). Find a point on the graph of f where the tangent line to the graph has the same slope as the line in part (a). Write the equation of the tangent line at that point.

Solution

f(1) = 2
f(2) = 9
equation of line: y-9 =7(x-2)

7x-y = 5