Find all points having an x-coordinate of 1 whose distance from the point (-3,-2) is 5

Question

Find all points having an x-coordinate of 1 whose distance from the point (-3,-2) is 5

Answer 1

all points with distance 5 from (-3,-2) is a circle with center (-3,-2) and radius 5

(x+3)^2 + (y+2)^2 = 5^2

x coordinate 1. Replace x with 1

(1+3)^2 + (y+2)^2 = 25

(y+2)^2 = 25 -16 = 9

y+2 = + or -3

y = -2 + or - 3

y = -5 or 1

points are (1,1) or (1,-5)