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Q: Why does the line have to pass through the origin?
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Is the line automatically nonproportional if it doesnt pass through the origin'?

No. The rectangular hyperbola does not pass through the origin but it represents inverse proportionality.


Does the line of best fit have to start from the origin?

The line of best fit does not have to pass through the 0 (origin) and rarely does


How do you find if a graph is proportional?

It is a straight line through the origin, with a positive slope.It is a straight line through the origin, with a positive slope.It is a straight line through the origin, with a positive slope.It is a straight line through the origin, with a positive slope.


Does the graph of an inverse variation pass through the origin?

Inverse variation does not pass through the origin, however direct variation always passes through the origin.


Does a line with the slope one always pass through the origin?

Not always. For example, try to find the slope of the line that passes through the points (3, 4) and (2, 3).


How can you determine from an equation if the line will pass through the origin?

For any polynomial equation, there must be no constant term.For equations in general there is no easy way. Substitute 0 for each of the variables and if the resulting expression is 0 then the line passes through the origin.


What is diameter of circle?

The distance between two sides of a circle that are parellel, the diameter line must pass through the origin


What two criteria must be true for a graph to be a proportional relationship?

It must be a straight line. It must pass through the origin.


How does the constant of variation affects the appearance of the graph of a direct variation function?

The formula direct variation is xk=y, where k is the constant of variation.Direct variation functions always pass through the origin. Direct variation functions are linear functions (goes in a straight line), except that they pass through the origin. Regular linear functions don't pass through the origin. That is the only difference.


Does a graph showing direct proportion always have to be a straight line?

Assuming both the scales on the graph are linear (that is to say that the numbers go up evenly) then YES, a graph which shows direct proportion must be a straight line. It must also pass through the origin (0,0). A straight line which does not pass through the origin is NOT showing direct proportion. Duncan


Which quadrants does the line representing the equation y equals 7x pass through?

Quadrants I and III, numbered from I at upper right (+, +) left and moving clockwise. The line passes through the origin (0,0).


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.