1. Distance
Midpoint
Point of Division
1) Identify formula
2) Label coordinates
3) Write Formula
4) Plug numbers into the formula
5) Bedmas
Show all your steps
Don't erase work

2. When you are asked
how far
the length
distance
Distance formula
the distance from A to B
A (x1,y1) B(x2,y2)
Be careful using order of operations
brackets first
exponents next
then add
then square root

3. When asked to find the coordinates of a point in the middle
Midpoint Formula
Find the coordinates of the point half way between A(x1,y1) and B(x2,y2).
M (xm, ym)

4. When asked to find a point part way
Find the coordiantes of P (xp, yp)
Point of Division P A B
It is very important that A is the starting point

5. Example
Find the point
of the way from (10, 25) to (90, 65)
1) asking for point of division
2) label coordinates 3) 4)
Plug in values
5) Bedmas

6. The point divides the line into a 7:2
If the ratio is given change it into a fraction m:n
If the ration is 7:2 the fraction will be
The point divides the line into a 7:2
ratio along the line AB. What are the
points coordinates if point A is at
(75, 8) and point b is (3, 98)
xp = /9(3-75) = 19
yp = 8 + 7/9(98 - 8) = 78
Pull