Agrocery, a cafe, a boutique, and a dance studio have the addresses 500 elm, 524 elm, 538 elm, and 544 elm, but not necessarily in that order. the boutique is between the cafe and the studio. the studio has the highest address. the grocery is between the cafe and boutique. what is the address of the boutique?

The address of the boutique is 538 elm

Step-by-step explanation:

We have to order the four buildings in the next table

500 | 524 | 538 | 544

X     |  X    |   X   |   X

Knowing that the studio has the highest address, then

500 | 524 | 538 | 544

X     |  X    |  X    | dance studio  

Knowing that the boutique is between the cafe and the studio , the options are

500     | 524             | 538 | 544

cafe     |  boutique    |  X    | dance studio  

500 | 524      | 538             | 544

X     |  cafe    |  boutique    | dance studio  

500      | 524 | 538             | 544

cafe      |  X    |  boutique    | dance studio  

Knowing that the grocery is between the cafe and boutique, only the last option can be chosen.  Then,

500      | 524           | 538              | 544

cafe      |  grocery    |  boutique    | dance studio  

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