Calculate 8

Calculate the coordinates of point B axially symmetrical with point A[-1, -3] along a straight line p : x + y - 2 = 0.

Correct answer:

x2 =  5
y2 =  3

Step-by-step explanation:

x1=1;y1=3 p: x+y2=0  q  p; A  q q:xy+c=0  x1y1+c=0 (1)(3)+c=0  c=2  c=12=2  c=2  q: xy2=0  S = p  q  x0+y02=0 x0y02=0  x0+y0=2 x0y0=2  Row2Row1Row2 x0+y0=2 2y0=0  y0=20=0 x0=2y0=2  x0=2 y0=0  x2=x1+2 x0=(1)+2 2=5
y2=y1+2 y0=(3)+2 0=3

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