What is the value of b for the following circle in general form?

The value of b for the circle in general form is 4

The standard equation of a circle is expressed as:

From the given diagram, the centre of the circle is at (-1, 2) and the radius is 3 units

Substitute into the formula:

Expand the expression to have:

Compare the result with the given expression

ax = -2x

a = -2

4y = by

b = 4

Hence the value of b for the circle in general form is 4

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The equation of a circle:

(h, k) - center

r - radius

Look at the picture. We have

center: (1, -2) → h = 1, k = -2

radius: r = 3

Substitute:

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3