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Oh, dude, let me break it down for you. So, like, a direct proportion means as one variable increases, the other also increases at a constant rate. And guess what? If you start at the origin (0,0) on a graph, that's like ground zero, where all the action begins. So yeah, a direct proportion totally passes through the origin on a graph. Cool, right?
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How can you determine if a graph forms a direct proportion?
If it is a straight line through the origin then it represents a direct proportion.
How do you determine direct and inverse proportion on graphs?
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.
What does a direct proportion look like on a graph?
A straight line, through the origin, sloping up from left to right. The gradient of the graph will be the constant of proportionality.
The graph of an inverse proportion is?
hyperbola
Graph of an inverse proportion is an?
The graph of the function y(x) = 1/x is a hyperbola.
