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)