How to delete polygons that do not intersect a line using ArcGIS for Desktop?

Question

I have a layer of polygons in which I only want to keep the polygons that are intersecting the blue line.

How do I erase/delete polygons that are not intersecting the line?

The selected polygon in the image is an example of one I want to delete since it is not intersecting the above blue line.

I'm using ArcGIS 10.1 for Desktop.

Answer 1

1. Start editing
2. Select by location the polygons that do intersect the line
3. Switch the selection
4. Delete polygons

OR

1. Select polygons that intersect line
2. Export selection to new layer

Answer 2

Building on @phloem's answer, an automated way to do this would be:

Build a model and use the select layer by location tool on your inputs to do a normal selection to select the polygons that touch (intersect) the blue lines

Then add another select by location tool - but switch the selection method to 'SWITCH_SELECTION' to grab the polygons that do NOT intersect the blue lines

Then tack on the delete features tool to remove the polygons that do NOT touch the blue lines, leaving only the polygons that do:

Thanks for the note @phloem!