Respuesta :

Answer:

[tex]f(x)=-\frac{1}{2}x +1[/tex]

Step-by-step explanation:

Slope intercept form is: [tex]f(x)=mx+b[/tex]

Find the Slope:

Choose 2 points on the graph:

(0,1) (2,0)

Find the slope of the two points:

[tex]\frac{0-1}{2-0}=-\frac{1}{2}[/tex]

[tex]m=-\frac{1}{2}[/tex]

Find the Y-Intercept

The y-intercept, or the point that the line crosses on the y axis, is (0,1).

[tex]b=1[/tex]

[tex]f(x)=-\frac{1}{2}x +1[/tex]

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