For the given equation, find the center and radius of the circle x^2 + ( y + 5 )^2 = 25 . what point is the center at ?

(0,-5)

Step-by-step explanation:

The vertex form of the equation of a circle is where (h,k) is the center of the circle and r is the radius. This means that for the equation the center is (0,-5).

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)