Answer
See below.
Work Step by Step
If $y=0$: $0=6x-6(\frac{11}{6}+x)\\0=6x-11-6x\\0=-11$
This is a contradiction; thus the graph has no x-intercept.
As we can see by the attached graph, we get the same result by graphing.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/bdd2c12e-188a-494b-81af-c19971400e15/steps_image/small_1570698372.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T001033Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=3969df77e51ddcaaf1fa60ea90f18ef03e975c2f3ca9fb94b00490fb979bb339)
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