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Question 17 (1 point)
lan's home is represented by the point (4, 4) on the coordinate grid. Joe's home is
represented by the point (10, 6) on the coordinate grid. They want to meet at a diner
is halfway between their houses (i.e., divides the line from lan's house to Joe's house
in a 1:1 ratio). What are the coordinates of the diner?

Respuesta :

Answer:

The coordinates of the diner are [tex]M(7,5)[/tex]

Step-by-step explanation:

we know that

To find out the he coordinates of the diner, we need to determine the midpoint between lan's home and Joe's home

The formula to calculate the midpoint between two points is equal to

[tex]M(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

we have

the point (4, 4) and the point (10, 6)

substitute the given values

[tex]M(\frac{4+10}{2},\frac{4+6}{2})[/tex]

[tex]M(7,5)[/tex]

therefore

The coordinates of the diner are [tex]M(7,5)[/tex]