A line is perpendicular to the line y = 4x - 3 and has x-intercept (2,0). Which of the following is an equation of the line?

Step-by-step explanation:

The slope of line: y = 4 x − 3 ≡ y = m x + c is 4 .

Hence the slope m of the line perpendicular to the given line: y = 4 x − 3

m=-1/4

Now, the equation of line passing through the point ( x 1 , y 1 ) ≡ ( 0 , 2 ) & having a slope m = -1/4 is given as

y−y1−m(x−x1)

y−2=-1/4 (x-0)

4y−8=−x

x+4y−8=0

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