Write the equation of a circle centered at the point P(-4,-6) and passing through the point
R(2,2).

Step-by-step explanation:

Given a circle centred at the point P(-4,-6) and passing through the point

R(2,2).

To find its equation, we follow these steps.

Step 1: Determine its radius, r using the distance formula

For point P(-4,-6) and R(2,2)

Step 2: Determine the equation

The general form of the equation of a circle passing through point (h,k) with a radius of r is given as:

Centre,(h,k)=P(-4,-6)

r=10

Therefore, the equation of the circle is:

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4