Question

Hello I need help solving this:
find all points having an x-coordinate of 1 whose distance from the point (-2 -3) is 5... any suggestions??

Answer 1

(1,y) and (-2,-3)
Distance formula.
\[d^2=(1-(-2))^2+(y-(-3))^2=3^2+(y+3)^2\]
\[d^2=9+y^2+6y+9\]
\[d=5\]
\[25=y^2+6y+18\]
\[y^2+6y-7=0\]
\[(y+7)(y-1)=0\]
y is either -7 or 1.

Answer 2

That's what I got too but I wasn't sure :-/ Thank you so much! I really appreciate it!