Question

How do graphs and equations reveal information about a relationship between two quantities

Answer 1

When two quantities have a relationship, there is a corresponding equation that could describe it. These two quantities may be expressed in variables of x and y. When you plot the graph, you may see a line or a curve. This presents the trend of the relationship of the two quantities when the independent variable changes.

Answer 2

Answer with explanation:

→→→The relationship between two Quantities can be expressed in either linear form which means Direct relationship or inverse relationship.

This can be expressed in the following way:

 →  y=a x +b------(1)

or

$\rightarrow y=\frac{k}{x}$

                                       --------------------------(2)

→You can take any of the variable as Independent Variable and another as Dependent Variable.

→→→Equation (1) shows direct relationship between  two variables whereas equation (2) shows inverse relationship between two variables.

When you represent this in graphical form one will be Linear and other will be in the shape of Rectangular Hyperbola.

For example:

→ y=2 x +3

And→→, $\rightarrow y=\frac{2}{x}$

Can be represented graphically as follows.