if the line runs through the origin it is a direct variation no matter if it is increasing or decreasing
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You then have a linear relationship, or a direct variation. A straight line through the origin.
Linear has a slope direct does not but both go through the orgin
Direct variation means that a linear function can be written as y = kx. The y-intercept must be (0, 0). The constant, k, is the slope.
Y=1/x
direct variation or positive correlation.