Answer
No, the fringes are not equally spaced.
Work Step by Step
Equation 35.4 gives the angle at which the fringes occur. As m increases, the angle changes in a complicated, nonlinear way and the spacing between adjacent fringes on the screen is not constant. If the screen is very far from the slits and the distance is large compared to $y_m$, the spacing appears to be constant, but strictly speaking, it is not.
For small angles only, equation 35.6 gives the spacing from the centerline, and there, for small m, the spacing is approximately constant.
