Section 10.1 Midpoint and Distance Formulas. Find a Midpoint COMPUTERS A graphing program draws a...

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Section 10.1 Section 10.1 Midpoint and Distance Midpoint and Distance Formulas Formulas

Transcript of Section 10.1 Midpoint and Distance Formulas. Find a Midpoint COMPUTERS A graphing program draws a...

Page 1: Section 10.1 Midpoint and Distance Formulas. Find a Midpoint COMPUTERS A graphing program draws a line segment on a computer screen so that its endpoints.

Section 10.1Section 10.1Section 10.1Section 10.1

Midpoint and Distance FormulasMidpoint and Distance Formulas

Page 2: Section 10.1 Midpoint and Distance Formulas. Find a Midpoint COMPUTERS A graphing program draws a line segment on a computer screen so that its endpoints.

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).

Page 3: Section 10.1 Midpoint and Distance Formulas. Find a Midpoint COMPUTERS A graphing program draws a line segment on a computer screen so that its endpoints.

Find the Distance Between Two PointsFind the distance between P(–1, 4) and Q(2, –3).

Answer: The distance between the two points isunits.

Distance Formula

Let (x1, y1) = (–1, 4) and (x2, y2) = (2, –3).

Subtract.

or

Page 4: Section 10.1 Midpoint and Distance Formulas. Find a Midpoint COMPUTERS A graphing program draws a line segment on a computer screen so that its endpoints.

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?

Standards exampleStandards example

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