The Distance and Midpoint Formulas

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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
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Distance Formula

• Used to find the distance between two points

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Example

• Find the distance between (2,1) and (5,2).
• D (2 - 5)² (1 - 2)²
• D (-3)² (-1)²
• D 91
• D 10
• D 3.162

x1
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!
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Example

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

A (4, 8)
B (1, 12)
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YOU TRY!!

• Find the distance between
• A. (2, 7) and (11, 9)
• B. (-5, 8) and (2, - 4)

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Midpoint Formula

• Used to find the center of a line segment

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Example

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

A (4, 8)
B (1, 12)
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YOU TRY!!

• Find the midpoint between
• A) (2, 7) and (14, 9)
• B) (-5, 8) and (2, - 4)

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THE SLOPE FORMULA!
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(6, 5)
"How steep am I?"
Use the slope formula
( -5, -3)