Which is an equation of a circle with center (-5, -7) that passes through the point (0, 0)?

(x - 5)2 + (y - 7)2 = 74
(x - 5)2 + (y - 7)2 = 37
(x + 5)2 + (y + 7)2 = 74
(x + 5)2 + (y + 7)2 = 37
Please help!!!!!!!

Question

Which is an equation of a circle with center (-5, -7) that passes through the point (0, 0)?
 	
	(x - 5)2 + (y - 7)2 = 74
	(x - 5)2 + (y - 7)2 = 37
	(x + 5)2 + (y + 7)2 = 74
	(x + 5)2 + (y + 7)2 = 37
Please help!!!!!!!

campbell_st · Answer

well the general form is 

$$(x -h)^2 +(y - k)^2 = r^2$$

where (h, k) is the centre and r is the radius

so

step 1 

substitute the centre values

then substitute the point (0,0) to find the value of r^2

and hence the equation of the circle