Answer in slope intercept form (y =mx +b)

what is the equation of a line that is perpendicular to 2x + y = -4 and passes through the point (2, -8) you so much!

y = - 9

Step-by-step explanation:

Two lines are said to be perpendicular if the product of their slope = 1 , that is , if the slope of the first line is and the slope of the second line is   , then   = , that is :

X   = -1

The line given is ; 2x + y = - 4

Make y the subject of the formula so that the equation will be in slope - intercept form ; y = mx + c

that is

y = -2x - 4

comparing with the equation of line y = mx + c , it shows that   = -2

Since the second line is perpendicular to this line , it means   =

That is

=

Using the formula y - = m ( x - ) to find the equation of the line

= -8

= 2

substituting into the equation

y - (-8) = ( x - 2)

y + 8 = ( x- 2)

2(y+8) = x - 2

2y + 16 = x - 2

2y = x - 2 - 16

2y = x - 18

y = - 18/2

y = - 9

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maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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