  For an incidence geometry $\mathcal{G} = (\mathcal{P}, \mathcal{L},
\text{I})$ with a linear representation $\mathcal{T}_n^*(\mathcal{K})$, we
apply WQH switching to construct a non-geometric graph $\Gamma'$ cospectral
with the line graph $\Gamma$ of $\mathcal{G}$.
  As an application, we show that for $h \geq 2$ and $0 < m < h$, there are
strongly regular graphs with parameters $(v, k, \lambda, \mu) = (2^{2h}
(2^{m+h}+2^m-2^h), 2^h (2^h+1)(2^m-1), 2^h (2^{m+1}-3), 2^h (2^m-1))$ which are
not point graphs of partial geometries of order $(s,t,\alpha) =
((2^h+1)(2^m-1), 2^h-1, 2^m-1)$.
