If the two variables are directly proportional, then the slope can be any number,
but the y-intercept has to be zero ... the line must go through the origin.
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type the equation that shows the relationship between the variables in this chart.
Yes. One shows speed and the other shows acceleration. The variables are usually plotted against time but that need not be the case. They could be plotted against displacement, for example.
Which type of line shows a direct proportion
I believe you are asking how to identify a positive or negative correlation between two variables, for which you have data. I'll call these variables x and y. Of course, you can always calculate the correlation coefficient, but you can see the correlation from a graph. An x-y graph that shows a positive trend (slope positive) indicates a positive correlation. An x-y graph that shows a negative trend (slope negative) indicates a negative correlation.
Every graph shows comparisons of some kind or another.