What is the slope of the line that is perpendicular to the line whose equation is 2x + y = 4.

The slope of the line that is perpendicular to the line whose equation is 2x + y = 4 is   .

Step-by-step explanation:

Given : Equation is 2x + y = 4.

To find : What is the slope of the line that is perpendicular to the line.

Formula used : equation of line y =  m x + c.

Solution : We have 2x + y = 4.

Rearranging the equation :  y = - 2x + 4.

On comparing   m = - 2.

Condition for  slope of the line that is perpendicular to the line :

      m × m = -1 .

So,       -2 × m = -1 .

On dividing by 2 both we get ,

  m = .

Therefore, The slope of the line that is perpendicular to the line whose equation is 2x + y = 4 is   .

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

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