Acircle is centered at the point (5, -4) and passes through the point (-3, 2).
the equation of this circle is (x +
)2 + (y +
)2 =
.

Equation of the circle is (x - 5)² + (y + 4)² = 100

Step-by-step explanation:

A circle is centered at the point (5, -4) and passes through the point (-3, 2).

Standard equation of a circle is (x - a)² + (y - b) = r²

Where (a, b) is the center of the circle and r is the radius of the circle.

Radius of the circle r = distance between center and point lying on the circle.

Now by putting values in the standard equation of the circle.

(x - 5)² + [y - (-4)]² = 10²

(x - 5)² + (y + 4)² = 100

(-1,0) and (4,0) are x-intercepts.

step-by-step explanation:

x-intercepts are all points on the x-axis.

points (-1,0) and (4,0) are both x -intercepts.