NO
On $25,000/yr, the typical $414,273 home in Austin, TX needs $129,702/yr ($3,026/mo). Your gap: $-104,702 — housing would be 145.3% of your gross income.
The math
414,273 price − 10% down (41,427) = 372,846 loan
30-yr fixed at 7.18% on 372,846 = 2,526/mo principal+interest
+ 501/mo est. taxes+insurance (1.45%/yr of value — national placeholder)
3,026/mo PITI ÷ 0.28 = 10,808/mo → 129,702/yr required
against Zillow ZHVI 2026-09 and the 7.18% FRED 30-yr rate (2026-11-05).
What salary WOULD clear Austin, TX?
You need about $129,702/yr for the typical home. That's $104,702 more than $25,000.