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**Midpoint and Distance Formulas**

Section 10.1 Midpoint and Distance Formulas

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Find a Midpoint COMPUTERS A graphing program draws a line segment on a computer screen so that its endpoints are at (5, 2) and (7, 8). What are the coordinates of its midpoint? Answer: The coordinates of the midpoint are (6,5).

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**Find the Distance Between Two Points**

Find the distance between P(–1, 4) and Q(2, –3). Distance Formula Let (x1, y1) = (–1, 4) and (x2, y2) = (2, –3). Subtract. or Answer: The distance between the two points is units.

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Standards example A coordinate grid is placed over a scale drawing of Jenny’s patio. A grill is located at (2, –3). A flowerpot is located at(–6, –1). A picnic table is at the midpoint between the grill and the flowerpot. In coordinate units, about how far is it from the grill to the picnic table? Use the Midpoint Formula to find the coordinate of the picnic table. Midpoint Formula Simplify. Use the Distance Formula to find the distance between the grill (2, –3) and the picnic table (–2, –2). Distance Formula Subtract. Simplify. or about 4.1 Answer: 4.1

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Midpoint and Distance Formulas Goal 1 Find the Midpoint of a Segment Goal 2 Find the Distance Between Two Points on a Coordinate Plane 12.6.

Midpoint and Distance Formulas Goal 1 Find the Midpoint of a Segment Goal 2 Find the Distance Between Two Points on a Coordinate Plane 12.6.

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