Linear just refers to the orientation/shape of the storm... There is a semi-common tendency for storms to move from cellular in shape to more linear in shape -- such as a transition from a multi-cell cluster or supercell to a squall line. This transition tends to nean a transition to an 'outflow dominant' storm type, one which sees its development and propagation dictated more so by convergence along a leading gust front than much else. Oftentimes, these storms are tilted upshear, resulting in a front updraft / rear downdraft sort of configuration... Squall lines tend to provide an unfavorable environment for tornadogenesis...