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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.
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?
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 each line segment. 1) x y −4 −2 2 4 −4 −2 2 4 2) x y −4 −2 2 4 −4 −2 2 4 3) x y −4 −2 2 4 −4 −2 2 4 ... Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com. Title: 3-The Midpoint Formula
Solve the following word problems using the midpoint formula, the distance formula, or both. On a map’s coordinate grid, Walt City is located at ( 1> 3) and Koshville is located at (4> 9).
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 .
Practice Equations of Lines: Slope, Distance, and Midpoint Formulas. Answer these problems, then check your answers using the key on the next page. If you missed something, look at the solutions after the answer key, and if you still don’t understand, watch the review video again. #1) Find the slope of the line passing through the points ( 4 ...
