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FromTheMoon [43]
2 years ago
5

Please solve in the image

Mathematics
1 answer:
eimsori [14]2 years ago
4 0

Answer:

4

Step-by-step explanation:

The line passes through points (2,0)\,,\,(0,2)

Let (x_1,y_1)=(2,0)\,,\,(x_2,y_2)=(0,2)

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

y-0=\frac{2-0}{0-2}(x-2)\\y=\frac{2}{-2}(x-2)\\y=-1(x-2)\\y=-x+2

So,

f(x)=y=-x+2

Put x=-2

f(-2)=-(-2)+2=2+2=4

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