On the coordinate grid, a grocery store is located at (-5, 3)) and the hardware store is located at (0, 1). If the hardware store is the midpoint between the grocery store and the pharmacy, what are the coordinates of the pharmacy?​

Respuesta :

Answer: (5,-2)

To do this, we need to find the difference between the given points.

There is a difference of 5 between the x's, meaning the pharmacy will be at (5,y)

There is a difference of 2 between the y's meaning the pharmacy will be at (5,-2)

The coordinates of the pharmacy are (5,-1) and this can be determined by using the midpoint formula.

Given :

  • On the coordinate grid, a grocery store is located at (-5, 3)) and the hardware store is located at (0, 1).
  • The hardware store is the midpoint between the grocery store and the pharmacy.

The following steps can be used in order to determine the coordinates of the pharmacy:

Step 1 - Let the coordinates of the pharmacy be (x,y).

Step 2 - According to the given data, the hardware store is the midpoint between the grocery store and the pharmacy.

Step 3 - The value of 'x' is given by:

[tex]0=\dfrac{x-5}{2}[/tex]

x = 5

Step 4 - The value of 'y' is given by:

[tex]1=\dfrac{y+3}{2}[/tex]

y + 3 = 2

y = -1

So, the coordinates of the pharmacy is (5,-1).

For more information, refer to the link given below:

https://brainly.com/question/21835898

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