Write an equation to represent the data shown in the table below.

x y
-2 152
-1 76
0 38

Step-by-step explanation:

x       y

-2      152

-1       76

0       38

From the value of y we can see that the value are decreasing

152/2= 76

76/2= 38

So the table represents exponential equation

y=ab^x

Plug in x=0 and y = 38

38=ab^0

38=a

now find out b

Plug in -1 for x  and 76 for y

76= ab^(-1)

76=38b^-1

b=1/2

So equation becomes

1/5x+9 2/5y+7

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