Question

derivative question.
(a) find an equation of the tangent line to the graph of y=g(x) at x=5 if g(5)=-3 and g'(5)=4
(b)if the tangent line to y=f(x) at (4,3) passes through the point (0,2), find f(4) and f'(4)

Answer 1

so the point is (5, -3) and the gradient is m = 4

use the point gradient formula

y - (-3) = 4(x - 5)