If it is a straight line through the origin then it represents a direct proportion.
If the variables x and y are in direct proportion then the graph of y against x is a straight line through the origin. If the variables x and y are in inverse proportion then the graph of y against x is a rectangular hyperbola. Alternatively, the graph of y against 1/x (or 1/y against x) is a straight line through the origin.
A straight line, through the origin, sloping up from left to right. The gradient of the graph will be the constant of proportionality.
hyperbola
The graph of the function y(x) = 1/x is a hyperbola.
This graph states, therefore, that A is directly proportional to B. It also states that ... thus showing that this straight line through the origin represents a direct proportion. ... what you are talking about, because there are other types of proportions.
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.
If it is a straight line through the origin then it represents a direct proportion.
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
If the variables x and y are in direct proportion then the graph of y against x is a straight line through the origin. If the variables x and y are in inverse proportion then the graph of y against x is a rectangular hyperbola. Alternatively, the graph of y against 1/x (or 1/y against x) is a straight line through the origin.
It represents a direct proportion and whose graph is a straight line through the origin.
A straight line, through the origin, sloping up from left to right. The gradient of the graph will be the constant of proportionality.
hyperbola
hyperbola
a circle graph. is the answer
The graph of the function y(x) = 1/x is a hyperbola.
No.A directly proportional graph has an equation of the form y = mx. It always passes through the origin.A linear graph will have an equation in the from y = mx + c. This has a y-intercept at (0, c). It doesn't pass through the origin unless c = 0. The directly proportional graph is a special case of a linear graph.