Question

Type the correct answer in each box. A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius of the circle is units. The point (-7, ) lies on this circle.

Answer 1

The circle has like an equation: (x+3)²+(y-2)²=r²

If x=1 then y=5 ==>(1+3)²+(5-2)²=r²==>4²+3²=r²==>r=5 (the radius)

if x=-7 then (-7+3)²+(y-2)²=25 ==> (y-2)²=25-16==>y=2+3 or y=2-3

The points (-7,5) and (-7,-1) are on the circle.