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Answer:  The x-intercept and y-intercept are 3 and -1 respectively.


Step-by-step explanation:  We are given a linear equation and we are plot the graph using x-intercept and y-intercept.

The given linear equation is

[tex]y=\dfrac{1}{3}x-1.[/tex]

Here, y-intercept is - 1. So, a point on the graph will be (0,-1).

We can also write the given equation in the following form

[tex]\dfrac{1}{3}x=y+1\\\\\Rightarrow x=3y+3.[/tex]

Therefore, x-intercept is 3 and the other point will be B(3,0).

Plotting these two on a graph paper and joining, we will get the graph of the given linear equation. Please see the attached figure.


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