Answer :
Answer:
[tex](x-8)^{2} +(y-15)^{2} =17^{2}[/tex]
Step-by-step explanation:
subtract the xs and the ys to find the number in the parenthesees
-3 - 5 = -8
-8 - 7 = -15
so the equation is
[tex]x^{2} +y^{2} =r^{2} \\(x-8)^{2} +(y-15)^{2} =r^{2}[/tex]
r is easy, count how far it is from one point to the next one or use the distance formula
[tex]\sqrt{x^{2} +y^{2} } \\\sqrt{(-8)^{2} +(-15)^{2} } \\\sqrt{64 +225} \\\sqrt{289} \\17[/tex]
so the final equation is
[tex](x-8)^{2} +(y-15)^{2} =17^{2}[/tex]