Answered

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can you please help me

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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