Determine the equation of the line perpendicular to Y=1/2 e^(x +1) at its y-intercept.

The y-intercept is e/2

so take the derivative of the function, sub in the point (0,e/2) to get the slope of the tangent.

form the negative reciprocal of that slope to get the slope of the perpendicular.

Find the equation of that perpendicualar, (you have the slope and a point)