Question

On a coordinate grid, a grocery store islocated at (3,0) and the hardware store islocated at (4,3). If the hardware store is themidpoint between the grocery store and thepharmacy, what are the coordinates of thepharmacy?

Answer 1

You can find the coordinates of the midpoint using the following equations:

`\begin{gathered} xm=(x1+x2)/(2) \\ ym=(y1+y2)/(2) \end{gathered}`

Where:

x1 = 3

xm=4

ym=3

x2 = ?

y1 = 0

y2 = ?

`\begin{gathered} x2=2xm-x1=2(4)-3=5 \\ y2=2ym-y1=2(3)-0=6-0=6 \end{gathered}`

Therefore, the coordinates of the pharmacy are:

(5 , 6)