Presentation on theme: "Midpoint and Distance Formulas"— Presentation transcript:
1 Midpoint and Distance Formulas Section 10.1Midpoint and Distance Formulas
2 Find a MidpointCOMPUTERS 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).
3 Find the Distance Between Two Points Find the distance between P(–1, 4) and Q(2, –3).Distance FormulaLet (x1, y1) = (–1, 4) and (x2, y2) = (2, –3).Subtract.orAnswer: The distance between the two points is units.
4 Standards exampleA 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 FormulaSimplify.Use the Distance Formula to find the distance between the grill(2, –3) and the picnic table (–2, –2).Distance FormulaSubtract.Simplify.or about 4.1Answer: 4.1