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Sagot :
Explanation
given the function
[tex]y=\frac{2}{3}x[/tex]it is a linear function, because there is only a variable (x) and the exponent is 1
Step 1
to graph the function The first is by plotting points and then drawing a line through the points
so
a) find the points
i) for x= 0
replace and calculate to find x
so
[tex]\begin{gathered} y=\frac{2}{3}x \\ y=\frac{2}{3}(0)=0 \\ so\text{ point 1 \lparen 0,0\rparen} \end{gathered}[/tex]P1(0,0)
ii) for x=3
[tex]\begin{gathered} y=\frac{2}{3}x \\ y=\frac{2}{3}(3)=2 \\ so\text{ point 2 \lparen3,2\rparen} \end{gathered}[/tex]Step 2
finally, draw a line that passes trought P1 and P2:
so, the graph would be
I hope this helps you

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