PointsDistance and Midpoint

Coordinate Plane• When graphing points

in the coordinate plane, remember it is (x,y).

• The quadrants are numbered with Roman numerals and go counter clockwise.

II I

III IV

y-axis

x-axis

Distance• The distance formula is used to find the distance

between two points.

• The notation is only telling you to make sure to use the coordinates from the 2nd point, then the coordinates from the 1st point.

• Find the distance between (2,5) and (6,8).

• = 5• Distance is always positive!!

Distance• You try a few!• (5,4) and (3,7)

• (8,-2) and (-5,-9)

• (15,-15) and (-1,0)

• (-5,-5) and (0,0)

𝑑=√(𝑥2−𝑥1)2+¿¿

Midpoint• Midpoint is the point exactly in the middle of two

points. (Just like it sounds!!)• It is the average of the x coordinates and the y

coordinates.• The midpoint is always written as an ordered pair.

• What is the midpoint between (2,5) and (6,1).• x = = • y = • The midpoint is at (4,3).

Midpoint• Your turn!!• (2,4) and (6,8)

• (1,3) and (5,9)

• (-4,-3) and (-8,-5)

• (-5,-5) and (-7,-7)

• (0,0) and (4,8)

(𝑥1+𝑥22

,𝑦1+𝑦22

)