The Distance and Midpoint Formulas

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Presentation transcript:

The Distance and Midpoint Formulas Goal 1 Find the Midpoint of a Segment Goal 2 Find the distance between two points on a coordinate plane Find the slope of a line between two points on a coordinate plane Goal 3

Distance Formula Used to find the distance between two points

Example Answer! Find the distance between (2,1) and (5,2). y1 x2 y2 -First substitute numbers for variables and solve the parentheses. -Then solve the squared number. -Add the two numbers. -Find the square root of the remaining number. Answer!

Example Find the distance between A(4,8) and B(1,12) A (4, 8) B (1, 12)

YOU TRY!! Find the distance between: A. (2, 7) and (11, 9) B. (-5, 8) and (2, - 4)

Midpoint Formula Used to find the center of a line segment

Example Find the midpoint between A(4,8) and B(1,12) A (4, 8) B (1, 12)

YOU TRY!! Find the midpoint between: A) (2, 7) and (14, 9) B) (-5, 8) and (2, - 4)

THE SLOPE FORMULA!

(6, 5) "How steep am I?" Use the slope formula ( -5, -3) = =

Homework Complete the handout given in class.