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Distance, Midpoint, and Slope Formulas. Find the distance between each pair of points. 1) (0, -8), (-6, 0) 3) (4, 3), (-3, 6) 5) (-1, -6), (3, 7) 7) y.
The Midpoint Formula Date_____ Period____ Find the midpoint of each line segment. 1) x y −4 −2 2 4 −4 −2 2 4 (−3, −3) 2) x y −4 −2 2 4 −4 −2 2 4 (−1 1 2 ... I.2 Y kA Fl 6l o rXi3g DhYtVsY UrCe bsde6r5vXeBdc.7 r hM8aidde c WwRi nt 5hj XIwnLfXiKniUtse e uGyepowmpeZt CrGyS. 7 Worksheet by Kuta Software LLC
Distance Formula and Pythagorean Theorem Example: The distance between (3, 4) and (x, 7) is 5 units. Find x. Using the distance formula: (3 —x)2 + (4—7) x) 3 Solving Graphically (Pythagorean Theorem) Example: b b 3 -5 4 or -4 The length of segment AB is 20. If the coordinate of Ais (5, 1), and the coordinate of B is (-6, y), what is b?
Deriving the formula for distance: Plot two points and label them and . Connect the two points with a segment. Draw a right triangle by using the segment as the hypotenuse. Label the legs and (across from the angles and ). Write the distance and in terms of and .
9.6 worksheet, review of slope, midpoint, distance 1. What is the formula for slope? _____ For # 2-7 find the slope, leave your answers in simplified fractional form. 2. (6, -12) (-16, -13) 3. (9,17) ( -12, 7) 4. (6,5) (20,-10) 5. (17,-7) (-8, 11) 6. (-8, 1) ( 6,8) 7. (-7,-16) (11, -16) 8.
The Midpoint Formula Date_____ Period____ Find the midpoint of the line segment with the given endpoints. 1) ( 7, 4 ) , ( 9, −1 ) 2) ( 8, −9 ) , ( 0, 5 )
What is the distance from Merryville to Bluxberg? (One map unit equals one mile.) First, we would need to ¿nd the midpoint from the points of the cities Merryville, (2> 4) and Sillytown, (2> 2). Let (2> 4) = ({1> |1) and (2> 2) = ({2> |2). Use the formula for the midpoint: P = + {2 |1 + |2. > 2 2 ¶. 2 4 + ( 2) = μ2 > 2 2 ¶ = μ4 2 2¶ = (2> 1) 2. >
