To solve the question we need to calculate the equation of the straight line;
the equation is given by:
m=(y1-y)/(x2-x)
where;
m is the slope;
selecting 2 points from the graph say (0,2) and (2,0), the slope of the graoh will be:
m=(0-2)/(2-0)=-1
thus using point (-2,4) the equation will be given by:
-1=(y-4)/(x+2)
-1(x+2)=(y-4)
this can be written as:
-x-2=y-4
this can be written as:
y+2=-x+4
this can be written as:
y+2=-(x-2)
The answer is A.y+2=-(x-2)