Question

What is the different between a graph representing data that is directly proportional and a graph that is inversely proportional

Answer 1

A graph depicting a direct relation is a straight line and usually has positive slope. An inverse relation is a curve, typically concave up with negative slope.

Answer 2

In a Directly proportional graph, a straight line will be observed between two variables and inversely proportional graph no straight line will be observed between two variables.

• The direct proportion is accounted for when two variables are directly associated with each other.
• When the magnitude of one variable is increased another variable's magnitude also increases automatically or vice versa.
• $X\propto Y$
• In a directly proportional graph, the X vs Y graph will give a straight line.
• The inverse proportion is accounted for when two variables are inversely associated with each other.
• When the magnitude of one variable is increased another variable's magnitude decreases automatically or vice versa.
• $X\propto \frac{1}{Y}$
• In the inversely proportional graph, the X vs (1/Y) graph will give a straight line. Whereas X vs Y graph will not give a straight line.

So, from this, we can conclude that in a :

Directly proportional graph, a straight line will be observed between two variables, and inversely proportional graph no straight line will be observed between two variables.

Learn more about direct and indirect proportion here:

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