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It must be a straight line.

It must pass through the origin.

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Q: What two criteria must be true for a graph to be a proportional relationship?
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What are necessary components for a graph of a proportional relationship?

If the scales on the two axes are linear, then the graph must be a straight line through the origin which is not one of the axes..


How do you know the relationship between x and y is proportional?

The answer depends on how the information is presented. If in the form of a graph, it must be a straight line through the origin. If in the form of an equation, it must be of the form y = cx.


How can you decide whether a relationship is linear by studying the pattern in a graph?

The graph must be a straight line, and it must pass through the origin.


How can you identify a proportional linear relationship?

When either of the two variables is zero, the other must be zero. Also, every increase in one variable by some fixed amount must be accompanied by an increase in the other by the same amount each time. The two sets of increases may be different, though.Alternatively, the graph of the two variables must be a straight line in the first quadrant and must pass through the origin.


Is the equation y equals 16x plus 4 a proportional relationship?

No. A proportional relationship between "y" and "x" must be of the form:y = kx where "k" can be any constant. Thus, y = 16x would work perfectly. However, the additional "+4" makes it impossible to convert it to this form.


Why must the graph of a relationship run through the origin for it to be proportional?

You can write a proportionality (between "x" and "y") as: y = kx where x is some constant. For x = 0, y is also equal to zero, no matter what the value of k. Thus, the point (0, 0) - i.e., the origin - is part of the solution set.


What is the difference between proportional and non proportional relationship?

In mathematics, or physics, if one quantity is proportional to the other, that means that if one quantity increases by a certain factor, the other quantity increases by the same factor. For example, if"y" is proportional to "x", and "x" increases by a factor 10, then "y" must also increase by a factor 10. Any relationaship that does NOT follow this rule is NOT proportional.


What is the shape of graph for simple pendulum between L and T?

T = 2*pi*sqrt(l/g) where g is acceleration due to gravity. So T is proportional to sqrt(l).Since both must be positive, the graph of T against L is the shape of the positive square root function.T = 2*pi*sqrt(l/g) where g is acceleration due to gravity. So T is proportional to sqrt(l).Since both must be positive, the graph of T against L is the shape of the positive square root function.T = 2*pi*sqrt(l/g) where g is acceleration due to gravity. So T is proportional to sqrt(l).Since both must be positive, the graph of T against L is the shape of the positive square root function.T = 2*pi*sqrt(l/g) where g is acceleration due to gravity. So T is proportional to sqrt(l).Since both must be positive, the graph of T against L is the shape of the positive square root function.


When a graph shows two variables are directly proportion the slope will be?

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.


What is graphing proportions?

Graphing proportions is to take two ratios and plot them on an (x,y) coordinate plane. You need to be consistent with your labeling. If you use the numerator of one ratio as your x coordinate, then the numerator of the other ratio must be the 2nd x coordinate. You can graph as many of these points as are given. If your ratio's are proportional then you will have a straight line. If it is not a straight line when graphed your ratios are not proportional.


Plot the graph of force vs acceleration?

Acceleration is directly proportional to applied force.  When acceleration increases, force also increases.  If the force is tripled, the acceleration will also be tripled.  Note that the mass must remain constant...


What is the scale for the line graph?

The scale can be anything that you choose - but you must give it with the graph.