Question

What is the distance between points (6, 2) and (4, 1) to the nearest tenth?

Answer 1

This is an example on how to do it

The Coordinate Plane

What You’ll Learn

• To find the distance between two points in the coordinate plane

• To find the coordinates of the midpoint of a segment in the coordinate plane

...AndWhy

To find the distance between

Check Skills You’ll Need

Find the square root of each number. Round to the nearest tenth if necessary.

GO for Help

3. 123 11.1

1. 25 5 2. 17 4.1

x2 Algebra Evaluate each expression for m ≠ –3 and n ≠ 7.

4.(m-n)2 100 5.(n-m)2 100 6.m2+n2 58

two points on a map, as in x2 Algebra Evaluate each expressi#on for a ≠ 6 and b ≠ –8. Example2 2 22 a1b

7.(a-b) 196 8. a1b 10 9. 2 –1

Skills Handbook 9 pages 753 and 754

1

1

Finding Distance on the Coordinate Plane

Vocabulary Tip

To help review terms shown here, see “Coordinate plane” in the Glossary.

You can think of a point as a dot, and a line as a series of points. In coordinate geometry you describe a point by an ordered pair (x, y), called the coordinates of the point.

The coordinates of point T

are (5, 2).

The coordinates

of point R are (4, 1).

You can use the Ruler Postulate to find the distance between two points if the points are on a horizontal line or a vertical line. To find the distance between two points that are not on a horizontal or vertical line, you can use the Distance Formula.

Key Concepts

The distance d between two points A(x1, y1) and B(x2, y2) is

d= (x 2x) 1(y 2y). #212212

Lesson 1-8 The Coordinate Plane

Step-by-step explanation: