Question

Graph the equation `y=\frac{2}{3}x\ -3` on the coordinate plane.

Answer 1

We kindly invite you to see the explanation for further details.

Explanation:

Let
`y = (2)/(3)\cdot x -3`, where
`x` and
`y` are the independent and dependent variables. From Geometry, we understand that all line can be formed by knowing two distinct points. We select
`x_(1) = 0` and
`x_(2) = 3` and we obtain the respective dependent values:

x = 0

`y = (2)/(3)\cdot (0) -3`

`y_(1) = -3`

x = 3

`y = (2)/(3)\cdot (3)-3`

`y_(2) = -1`

Lastly, we plot the resulting line with the help of a graphing tool.