vjaguirre123
Answered

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Please solve in the image

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Sagot :

Answer:

[tex]4[/tex]

Step-by-step explanation:

The line passes through points [tex](2,0)\,,\,(0,2)[/tex]

Let [tex](x_1,y_1)=(2,0)\,,\,(x_2,y_2)=(0,2)[/tex]

Equation of a line passing through points [tex](x_1,y_1)\,,\,(x_2,y_2)[/tex] is given by [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-0=\frac{2-0}{0-2}(x-2)\\y=\frac{2}{-2}(x-2)\\y=-1(x-2)\\y=-x+2[/tex]

So,

[tex]f(x)=y=-x+2[/tex]

Put [tex]x=-2[/tex]

[tex]f(-2)=-(-2)+2=2+2=4[/tex]

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