Question

Please solve in the image

Answer 1

`4`

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=(y_2-y_1)/(x_2-x_1)(x-x_1)`

`y-0=(2-0)/(0-2)(x-2)\\y=(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`