Question

Please solve in the image

Answer 1

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 $x=-2$

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