The link will show you several different kinds of graph. A straight line graph will literally be one straight line, representing a linear equation perhaps, or showing the closest straight line fit to a set of data. There are other line graphs that connect points on a grid with straight lines, even though the over-all graph may not be one single straight line.
Graphs are very interesting and extremely useful. You can often find a straight line that is the 'best fit' for some data, but there may be other kinds of curved lines that are even better fits.
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A linear relationship will show up on a graph as a straight line.
The graph will be a line.
Linear = Straight line! So, a graph of a linear relationship is a straight line.
the graph is called a line
A linear function is a function whose graph is a straight line.