Question

write an equation of a circle with center (-5,2) and passes through the point (-8,4)

Answer 1

The general equation for the circle is given as follows, which is something you must have memorized..\[(x-x_0)^2+(y-y_0)^2=r^2\] Here, \((x_0,y_0)\) is the center, and \(r\) is the radius. You are given the center of the circle, and the radius must be the distance between the two given points. Does that make sense?