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Sagot :
The equation of a line is:
[tex]y=mx+b[/tex]where m is the slope and b is the intercep in the y axis, so we can see that the intercept is b = 4 so now we can calculate the slope with this equation so:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]and we replace two point of the line so I can see ( 0,4 ) and ( 2,1 ) so:
[tex]\begin{gathered} m=\frac{1-4}{2-0} \\ m=-\frac{3}{2} \end{gathered}[/tex]so the correct equation is:
[tex]f(x)=-\frac{3}{2}x+4[/tex]
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