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Answer:

The ordered pairs of the equation is (12,0)and (0,4).

Step-by-step explanation:

Given : Equation [tex]y=-\frac{1}{3}x+4[/tex]

To find : Make a table of ordered pairs for the equation. Then plot two points to graph the equation.

Solution :

Equation [tex]y=-\frac{1}{3}x+4[/tex] is a linear graph.

So, We find x-intercept and y-intercept of the equation for graphing.

For x-intercept, put y=0

[tex]0=-\frac{1}{3}x+4[/tex]

[tex]\frac{1}{3}x=4[/tex]

[tex]x=4\times 3[/tex]

[tex]x=12[/tex]

The point is (12,0).

For y-intercept, put x=0

[tex]y=-\frac{1}{3}(0)+4[/tex]

[tex]y=4[/tex]

The point is (0,4).

The ordered pairs of the equation is (12,0)and (0,4).

Plot these point in the graph.

Refer the attached figure below.

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