Oncogenic transformation of mammary epithelial cells (MECs) is a critical step in epithelial-to-mesenchymal transition (EMT), but evidence also shows that MECs undergo EMT with increasing matrix stiffness; the interplay of genetic and environmental effects on EMT is not clear. To understand their combinatorial effects on EMT, premalignant MCF10A and isogenic Ras-transformed MCF10AT are cultured on polyacrylamide gels ranging from normal mammary stiffness, ≈150 Pa, to tumor stiffness, ≈5700 Pa. Though cells spread on stiff hydrogels independent of transformation, only 10AT cells exhibit heterogeneous spreading behavior on soft hydrogels. Within this mixed population, spread cells exhibit an elongated, mesenchymal-like morphology, disrupted localization of the basement membrane, and nuclear localization of the EMT transcription factor TWIST1. MCF10AT spreading is not driven by typical mechanosensitive pathways including YAP and TGF-β or by myosin contraction. Rather, ERK activation induces spreading of MCF10AT cells on soft hydrogels and requires dynamic microtubules. These findings indicate the importance of oncogenic signals, and their hierarchy with substrate mechanics, in regulating MEC EMT.