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