Set equal: $ 2x - 5 = -\frac12x + 5 $ → $ \frac52x = 10 $ → $ x = 4 $. Substitute $ x = 4 $ into $ y = 2x - 5 $: $ y = 3 $. The closest point is $ (4, 3) $, which coincides with the given point (implying the point lies on the line). However, verifying: $ 3 = -\frac12(4) + 5 = -2 + 5 = 3 $. Thus, the closest point is $ \boxed(4, 3) $. - Veritas Home Health