Bell Ringer

Find the slope of the lines going through:1. (1, 2) (3, 8)2. (0, 5) (6, 8)

Identify the slope and the y-intercept:3. y = 6x + 24. y = -3x – 1

m = 3

m = ½

m = -3, b = -1

m = 6, b = 2

Next Two Weeks…

Mon – Midpoint RefresherTue – Distance FormulaWed – Midpoint and Distance ProblemsThur – Mini-Quiz (Midpoint & Distance)Fri – Begin Final Exam Review

Mon – No School – MLK DayTue – Final Exam ReviewWed – Finals (Odd)Thur – Finals (Even)Fri – Return Final Exams

The Midpoint Formula

GRE 504: Find the midpoint of a line segment*GRE 603: Use the distance formula

The Midpoint…(Refresher!) The midpoint is the middle of two

points on a coordinate plane. To find the midpoint, you would find

the average of the x and y coordinates, or…

x1 + x2

2

y1 + y2

2( , )

Find the midpoint!

Find the midpoint of the coordinates:(2, 4) & (6, 12)

2 + 6 4 + 12 2 2

(x1, y1) (x2, y2)

( ),

( )8 162 2

,(4, 8)

This is the midpoint!

I remember this!

Find the midpoint and plot it!

Identify the points!(5, 3) and (-3, -3)

Use the formula!.

.

5 + -3 3 + -3 2 2

( , ) 2 0

2 2( , )(1, 0)

.

Now plot it!

Find the midpoint and plot it!

Identify the points!(2, 8) and (-5, -5)

Use the formula!

.

.

2 + -5 8 + -5 2 2

( , ) -3

32 2

( , )(-1 ½ , 1 ½ )

.

Now plot it!