Let point A(-2,4) = A (X1,Y1) point B( 1,3 )= B (X2,Y2) point C(4,-1) = C (X3,Y3) and point D(?, ?) = D (X4,Y4) We have to find this point
To find X4 we have to use the formula: X2-X1=X3-X4
Now just plug in the numbers that correspond to the letters provided: (1)-(-2)=(4)-(X4) ----> we don't know what X4 is yet, so we have to solve for it! 1+2=4-X4 3=4-X4 3-4=-X4 -1=-X4 divide both sides by -1 X4=1
Now we have to find Y4 using this formula: Y2-Y1=Y3-Y4
Therefore, (3)-(4)=(-1)-(Y4) -1=-1-Y4 -1+1=-Y4 0=-Y4 So, Y4=0
Now we have found the coordinates of the point D, which is (1,0)
