SOLUTION: given: point Q(-2,3) midpoint M(-3,-1) point P(x,y) Find coordinates of the point P using a formula, check with graph and then find y-coordinates equal to 1 that are a distance

Question 751485: given: point Q(-2,3) midpoint M(-3,-1) point P(x,y)
Find coordinates of the point P using a formula, check with graph and then find y-coordinates equal to 1 that are a distance of sqrt 6 from the point Q
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
given: point Q(-2,3) midpoint M(-3,-1) point P(x,y)
Find coordinates of the point P using a formula
----
(x+-2)/2 = -3
x-2 = -6
x = -4
-----
(y+3)/2 = -1
y+3 = -2
y = -5
---
P(x,y) = P(-4,-5)
============================
check with graph
============================
find y-coordinates equal to 1 that are a distance of sqrt 6
from the point Q(-2,3)
---
Find "x" where (x,1) are at distance sqrt(6) from Q(-2,3)
sqrt[(x+2)^2 + (1-3)^2] = sqrt(6)
(x+2)^2 + 4 = 6
(x+2)^2 = 2
x+2 = sqrt(2) or x+2 = -sqrt(2)
x = -2+sqrt(2) or x = -2-sqrt(2)
------------------------------------
cheers,
Stan H.

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