Question

Which equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1)?

Answer 1

Step-by-step explanation:

radius = distance between point and centre

consider centre as (-g,-f)

the circle equation is

(x-g)^2+(y-f)^2=r^2

u can get the circle equation plss solve it don't mind

hope this will help u

Answer 2

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By mid- point formula:

$\frac{x1 + x2}{ 2 }$ and $\frac{y1 + y2}{2}$

now the given points are

A (-5,-3) B(-2,1)

by putting values in the given formula

$\frac{ - 5 + ( - 2)}{2} = \frac{ - 7}{2}$

and

$\frac{ - 3 + 1}{2} = \frac{ - 2}{2} = - 1$

so the mid- point of these two points are:

$( \frac{ - 7}{2}, - 1)$

hope it help ❣