Question

Can you help me i have to see if it is a direct variation

Answer 1

a direct variation is a relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. For instance,

`y=mx`

in which variables x and y are related by a constant m. A numerical examples of a Direct variations are:

`\begin{gathered} y=-5x \\ y=(2)/(3)x \\ y=-(7)/(6)x \end{gathered}`

etc. In our case, the figure shows a line. The general equation of a line is in the form

`y=mx+b`

This is almost the same a direc variation, however it has the y-intercept b. In our case, form the graph, we can see that

b=4. In other words, b is the point in which the lines cross y-axis.

Hence, our line doesnt represent a Direct variation since there is a y-intercept b=4.