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
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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
Explanation: