We usually travel from Vegas to Blaine (Birch Bay) WA in the summer months and use the same route back to Vegas.
We take I-90 east from Seattle then I-82 south at Ellensburg then I-84 through Oregon to Twin Falls Idaho where we pick up US 93 into Ely, NV, Then US 6 south to the junction of NV State Route 318 south where it connects again to US 93 and continue on US 93 south connecting with I-15 into Vegas.
Checked the route on the Google map and it shows a distance of 1,130 miles..
here's a link to the Google travel directions:
Good luck and have a fun, safe and trouble free trip to Vegas,
P.S. bring money, our economy is hurting...