I think that the difference is that a scatter plot graph has dots on it and that a line graph doesn't. Am sorry if I didn't answer your question properly but this is what I can offer. If it was not enough am sorry.
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There are many different kinds of charts. A few would be a graph, bar graph, flow charts, pie charts, pictograph, line graphs, histogram, dot plot, and scatterplot.
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Scatterplot
A scatterplot, if the relationship is inexact - like height and weight. A line graph for exact relationships. An equation or function may be used for exact relationships.
double line graph