The area of a square is a function of its perimeter. graph the function on a separate sheet of grid paper . explain wether the function is linear and if the graph is increasing or decreasing .

how do i graph it ? and is the the function linear . is the graph increasing or decreasing ?.

Parabola = 16A

Non-linear function.

Increasing function.

Step-by-step explanation:

Let a be the side length of a square ,

Then, Perimeter of square (P) = 4a

So, a can be written as a =

Area of square (A) = .

So, A =

        =  

= 16A

It is the equation of parabola. (similar to = 4ax)

It is a non - linear function as square of Perimeter is related to Area , not directly Perimeter.

Also, it is a increasing function since as A increases P increases.

69

step-by-step explanation:

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17