Answer:
An equation of the circle with centre (-2,1) and radius 3 is 
Option D is correct.
Step-by-step explanation:
Looking at the figure we get centre of circle C (-2,1) and radius of circle r = 3
The equation of circle is of form:
where (h,k) is centre and r is radius.
We have centre C (-2,1) so, we have h = -2 and k = 1
We have radius = 3 so, r = 3
Putting values in the equation and finding the required equation:

So, an equation of the circle with centre (-2,1) and radius 3 is 
Option D is correct.
<h3><u>
Answer:</u></h3>
![\boxed{\boxed{\pink{\bf \leadsto Hence \ option\ [d]\ \bigg(y = \dfrac{5}{2}x + 5\bigg) \ is \ correct }}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B%5Cpink%7B%5Cbf%20%5Cleadsto%20Hence%20%5C%20option%5C%20%5Bd%5D%5C%20%5Cbigg%28y%20%3D%20%20%5Cdfrac%7B5%7D%7B2%7Dx%20%2B%205%5Cbigg%29%20%5C%20is%20%5C%20correct%20%20%7D%7D%7D)
<h3>
<u>Step-by-step explanation:</u></h3>
Here from the given graph we can see that the graph the graph intersects x axis at (2,0) and y axis at (5,0). On seeing options it's clear that we have to use Slope intercept form . Which is :-

We know that slope is
. So here slope will be ,
Hence the slope is 5/2 . And here value of c will be 5 since it cuts y axis at (5,0).

<h3>
<u>Hence</u><u> </u><u>option</u><u> </u><u>[</u><u> </u><u>d</u><u> </u><u>]</u><u> </u><u>is</u><u> </u><u>corre</u><u>ct</u><u> </u><u>.</u><u> </u></h3>
The first one YES and the last one NO!