Like a parabola. Not "like": it would be.
A straight line, through the origin, sloping up from left to right. The gradient of the graph will be the constant of proportionality.
i would put different colors on the graph or i will put the sports on one side and the number of students who like that sport on the graph
An equation is the same as a function. Identifying a functional relationship from a graph is nearly impossible unless it is trivially simple like a linear relationship.
I would let "direct" mean "linear." The answer then becomes simpler; direct proportional may mean a relationship like 1-1, 2-2, 3-3, etcetera. Proportional by itself would then be free to indicate other proportions; like 1-1, 2-4, 3-9, etcetera -- in an exponential proportion.
Straight line.
Like a parabola. Not "like": it would be.
straight line
The relationship between quantities is determined by their context, which can be mathematical, physical, or conceptual. In mathematics, relationships can be proportional, inverse, or dependent using functions. Quantities can be linked using physical laws, such as force = mass × acceleration. Understanding entails analyzing equations, graphs, or patterns that depict how quantities interact.
A linear graph has an equation that looks like y=mx. Boyle's Law: PV = C (where C is a constant much like m is constant in the equation above) If you want to plot V on the y axis, you would solve for V: V = C/P You can see that P, the variable to be plotted on the x axis is in the denominator, meaning it is of the form y = m/x not y=mx. It is an inverse relationship, not a direct linear relationship. This will give you a curve in quadrant 1 that asymptotically approaches the y and x axes.
A straight line, through the origin, sloping up from left to right. The gradient of the graph will be the constant of proportionality.
A quadratic relationship is a mathematical relationship that can be expressed by a quadratic formula in which the highest exponent is two (i.e., x squared). On a graph, this relationship will look like a parabola.
A rather random zig-zag, probably.
If two variables are inversely related, then a graph showing their relationship should be shaped like a hyperbola. A hyperbola will start out really high, drop a lot in a short distance, then drop less and less as the graph goes further to the right. It looks similar to an exponential decay function, but less extreme. Here is an example of what one could look like: http://www.wolframalpha.com/input/?i=1%2F4x (In most practical applications, only the right side of the graph would be shown.)
Treat subscriptions like direct relationships.....
It's a slanted straight line that goes through the origin of the coordinates.
i would put different colors on the graph or i will put the sports on one side and the number of students who like that sport on the graph