Posted by **Shellie** on Monday, May 28, 2012 at 6:12pm.

On the design plan for a garden, a straight path suns from (-25,20) to (40,36). A lamp is going to be placed at the midpoint of the path. Determine the coordinates for the lamp.

- Math (grade 10) -
**bobpursley**, Monday, May 28, 2012 at 6:19pm
midpoint: (-25+20)/2, (20+36)/2

- Math (grade 10) -
**me**, Tuesday, May 29, 2012 at 12:50pm
To find the coordinates of the lamp, you have the find the midpoint of the path.

The path has two endings:

one at (-25, 20)

one at (40, 36)

For the x-coordinate, add up all x-coordinates and divide them by 2

-- [(-25 + 40) / 2] = (15 / 2) = 7.5

For the y-coordinate, add up all y-coordinates and divide them b y 2

-- [(20 + 36) / 2] = (56 / 2) = 28

So the coordinates of the lamp will be

(7.5, 28)

Because it is in the midpoint of the path (midpoint of both ends)

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