Write an equation for the line that passes through the point (4,5) and is perpendicular to−7x+y=2. Use slope-intercept form.

y= -1/7x + 39/7

Step-by-step explanation:

Slope - intercept form is:

Given the line:

which can be shown as:

We need to write an equation for the line that it perpendicular to the given line and passes through the point (4,5)

As we know, perpendicular line has a slope opposite-reciprocal to the given, so the slope is:

and the form of the line is:

We can find b, by using the point (4, 5), which means x=4 and y=5:

And the equation for this line 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

care to share were the trapezoid shown is ?