x2 + y2 - 4x + 18y = -69
⇔ x2 - 4x + 4 + y2 + 18y + 81 = 85 - 69
⇔ x2 - 4x + 4 + y2 + 18y + 81 = 16
⇔ (x2 - 2)^2 + (y + 9)^2 = 4^2
⇒ Center = (2, -9) and radius = 4
Intercepts: x - intercepts: (2, 0), (6, 0)
y - intercepts: (0, -23), (-15, 0)
To graph the circle, plot the points above and with your compass open at 4 units and with the pin of the compass at the center, draw the circle passing through the points (2, 0), (6, 0), (0, -23) and (-15, 0).