Question

100 POINTS AND BEST ANSWER TO THE ONES WHO ANSWER PLS HURRY LOL

Point M is located at (-2, 7). If point N is 13 units away from point M, how many possible coordinate pairs (x, y) could point N have? Explain what you can
determine about the values of x and y.

Answer 1

Step-by-step explanation:

M(-2, 7)

13 units away from point M similar to the radius of the circle with the center Point M.

so, the point of N(x, y) could be anywhere and should follow the rules :

(x +2)²+(y-7)² = 13² or

(x + 2)² + (y -7)² = 169

Answer 2

Let another point be A(x,y)

It can exist anywhere in plane just it need to follow the rule of distance

$\\ \sf\longmapsto \sqrt{(x+2)^2+(y-7)^2}=13$

• Take root over to right

$\\ \sf\longmapsto (x+2)^2+(y-7)^2=13^2=169$