A line that includes the points ( –
4,f) and (
–
3,5) has a slope of 7. What is the value of f?

f=12

Step-by-step explanation:

Slope is rise/run

slope=7

rise/run=7

rise= y2-y1

run=x2-x1

slope=5-f/3-4

slope=5-f/-1

7=5-f/-1

multiply both sides by -1

-7=5-f

subtract 5 from both sides

-12=-f

divide both sides by -1

f=12

do you have any choices

step-by-step explanation:

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