Assuming that this is indeed the slope of the tangent line, we use the point-slope form of the equation of a line (see appendix b) to write the equation of the tangent line through (1, 5) as
a) y - 5 = m(x - 1)
b) y = mx + 5
c) y = 5x - 1
d) y = 5(x - 1)