Question

4.IF THE DISTANCE OF P ( x , y ) FROM A ( 5 , 1 ) AND B ( -1 , 5 ) ARE EQUAL , THEN WHAT IS TRUE ?​

Answer 1

Answer:

$y = \frac{3}{2} x$

Step-by-step explanation:

${(x - 5)}^{2} + {(y - 1)}^{2} = {(x + 1)}^{2} + {(y - 5)}^{2} \\ \\ {x}^{2} + {y}^{2} + 25 + 1 - 10x - 2y = {x}^{2} + {y}^{2} + 2x - 10y + 1 + 25 \\ \\ 26 - 10x - 2y = 2x - 10y + 2x + 26 \\ \\ - 12x + 8y = 0 \\ \\ 8y = 12x \\ \\ 2y = 3x \\ \\ y = \frac{3}{2} x$