A bicyclist is in the exact middle of a straight trail that has endpoints at coordinates (11, 2) and (13, 5)on a map. Each unit of the grid is equal to 1 mile. What are the coordinates of the bicyclist on the map? * 6.5, 9)
(12, 3.5)
(13, 18)
(24, 7)

(12, 3.5)

We have to find the midpoint. So we do,

11+13=24 /2 = 12
2+5=7 /2 = 3.5

So the bicyclist is at (12, 3.5) on the map.

I’ve attached a picture of another example and the formula we use. Hope this helps!

Let

E> the point that divides the line segment CD into a ratio of

Ey>The y coordinate of point E

Dy> the y coordinate of point D

CDy> distance from point C to D in the y coordinate

CEy> distance from point C to E in the y coordinate

EDy> distance from point E to D in the y coordinate

we have that

Step

Find the distance CD in the y coordinate

we know that

---> equation

--> equation

equate equation and equation

Find the y coordinate of point E

therefore

the answer is the option A