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 Goal 3 Find.

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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 Goal 3 Find the slope of a line between two points on a coordinate plane

Distance Formula Used to find the distance between two points

Example Find the distance between (2,1) and (5,2). D= (2 - 5)² + (1 - 2)² D= (-3)² + (-1)² D= 9+1 D= 10 D= x1y1x2y2 -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.

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)

Ex M(4, 2) is the midpoint of RS. If S has a coordinates (5, -2), find the coordinates of R.

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

THE SLOPE FORMULA!

( -5, -3) (6, 5) Use the slope formula ==