Adding gridlines between points on ggmap

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*edit: image was not visible in first post

I am new to ggmap. I am trying to plot specific points from grids on to a map, but I only have the gps coordinates for the corners of the grids. Is there a way to build a 10 X 10 grid between these points, extract the center of the squares in those grids, and plot a subset of those points?

here is what my map looks like now, with the four corners of three different grids. I would prefer not to include code, as it contains location data. enter image description here

I am not sure how to go about this, or if it is even possible.

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