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  1. Determine whether an ordered pair is a solution of an equation. Use the Distance Formula to find the distance between two points. Use the Midpoint Formula to find the midpoint of a segment.

  2. A. Distance Formula. We seek a formula for the distance between two points: By the Pythagorean Theorem, Since distance is positive, we have: . Distance Formula: . B. Example. Find the distance between. and. Solution. Use the distance formula: . Ans. . C. Circles. A circle is the set of points a fixed distance. from a center :

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  4. THE DISTANCE FORMULA. The distance d between the points (x1, y1) and (x2, y2) is as. follows: d (x 2. x 1)2. (y. 2. y 1)2. Example 1. Finding the Distance Between Two Points. Find the distance between (4, 5) and ( 2, 7). Let (x1, y1) (4, 5) and (x2, y2) ( 2, 7). d (x. 2. x 1)2. (y. 2. y 1)2. Use distance formula. 2 ( 4)2. (7 ( 5))2.

  5. The Distance Formula Date_____ Period____ Find the distance between each pair of points. 1) x y 2) x y 3) x y 4) x y-1-©e A220C1j1 s WKaumtea v eSOoRfBtcwa3r Kee CLWL6CD.d I 2AMl4l k or qiQg ThotZsG GrCeNsZe JrRvjeAdU.T g lMya odAej jwwibt9h a QI0nLftiXnLiBtxe W mPkrie w-hA Jl dgMe3bPrMaD.P Worksheet by Kuta Software LLC 5) (−1 ...

  6. Use the Distance Formula 2. Use the Midpoint Formula. Examples: 1. Find the distance between the points (-3,7) and (4,10). 2. Determine whether the triangle formed by points A=(-2,2), B=(2,-1), and C=(5,4) is a right triangle. 3. Find the midpoint of the line segment joining the points P1=(6,-3) and P2=(4,2).

  7. Example: Plot the point (1, 2). Step 1: Find the distance from the origin along the x axis. Step 2: Find the distance from the origin along the y axis. Step 3: Plot the point +1 horizontally and +2 vertically. Graphing Linear Equations Using Points . In order to graph a linear equation, at least two points on the line must be found. By plugging