Why does slope represent density

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When can the slope of a graph represent density-? What does the slope of the graph in question 1 represent? What does the slope of a position-time graph represent? What would a graph about masses and volumes represent? Taking the end points since they are given is a convenient way of doing it. Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points rise. Determine the difference in x-coordinates for these two points run.

A higher positive slope means a steeper upward tilt to the line, while a smaller positive slope means a flatter upward tilt to the line. A negative slope that is larger in absolute value that is, more negative means a steeper downward tilt to the line.

Select any two points on the line of best fit. These points may or may not be actual scatter points on the graph. The slope of a line is the rate of change of y with respect to x.

A slope of zero means that there is a constant relationship between x and y. Graphically, the line is flat; the rise over run is zero. The unemployment-rate graph in Figure 4, below, illustrates a common pattern of many line graphs: some segments where the slope is positive, other segments where the slope is negative, and still other segments where the slope is close to zero.

The slope of a straight line between two points can be calculated in numerical terms. As an example, consider the slope of the air-density graph, above, between the points representing an altitude of 4, meters and an altitude of 6, meters:. Thus, the slope of a straight line between these two points would be the following: from the altitude of 4, meters up to 6, meters, the density of the air decreases by approximately 0.

Suppose the slope of a line were to increase. Graphically, that means it would get steeper. Suppose the slope of a line were to decrease. Then it would get flatter.

These conditions are true whether or not the slope was positive or negative to begin with. A higher positive slope means a steeper upward tilt to the line, while a smaller positive slope means a flatter upward tilt to the line. A negative slope that is larger in absolute value that is, more negative means a steeper downward tilt to the line.