Which is an equation of a circle with center (-5, -7) that passes through the point (0, 0)?

a. (x - 5)2 + (y - 7)2 = 74
b. (x + 5)2 + (y + 7)2 = 37
c. (x + 5)2 + (y + 7)2 = 74
d. (x - 5)2 + (y - 7)2 = 37

The equation of the circle is (x + 5) ² + (y + 7)² = 74 .

Option (C) is correct .

Step-by-step explanation:

The general equation of the circle is given by

(x - h) ² + (y - k)² = r²

Where (h,k) are the centre of the circle and r is the radius of the circle .

As given

A circle with center (-5, -7) that passes through the point (0, 0) .

As

Put in the equation

As center of the circle is (-5, -7) and r² is 74 .

Put in the general form of the equation .

(x -(-5)) ² + (y - (-7))² = 74

(x + 5) ² + (y + 7)² = 74

Therefore the equation of the circle is (x + 5) ² + (y + 7)² = 74 .

Option (C) is correct .

dont trust me im no expert these losers made me fail a test bro this sucks

step-by-step explanation:

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )