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a correlation on a graph is when the line of best fit is positive, negative or none.
The trend of a graph is the slope of any line on the graph that indicated a positive or growth factor and/or a negative or decaying factor. If the slope goes negative, the graph's line will go down thus indicating decay. If the slope becomes positive, the graph's line will go up thus indicating growth.
This depends on what the graph represents. If it is a graph of velocity on the vertical and time on the horizontal, then if acceleration is at a constant rate, the graph will be a straight line with positive slope (pointing 'up'). If acceleration stops, then the graph will be a horizontal line (zero acceleration or deceleration). If it is deceleration (negative acceleration), then the graph will have negative slope (pointing down).
A direct relationship if the slope of the line is positive. An inverse relationship if the slope of the line is negative.
For a straight line graph, if the equation of the graph is written is the slope-intercept form, then the line goes up and to the right when the coefficient of x is positive.