Find the equation for the line that goes through (-6, 6) and is perpendicular to y = -2x – 4.

y = (1/2)x + 9

Step-by-step explanation:

slope of a line perpendicular to y = -2x - 4 is 1/2 (opposite reciprocal of -2)

y = (1/2)x + b

to find b plug in (x, y) = (-6, 6)

so...

6 = (1/2)×(-6) + b

6 = - 3 + b

b = 9

so the answer is

y = (1/2)x + 9

i think the answer is b

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4