Short Answer

Find the distance $d (P_{1}, P_{2})$ between the points $P_{1} and P_{2}$ .
$P_{1} = (- 4, - 3); P_{2} = (6, 2)$

The distance between the points is $d = 5 \sqrt{5}$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

Find the distance between the points. $P_{1} = (- 4, - 3); P_{2} = (6, 2)$

Step 2. Substitute the values in the formula.

The length of the line segment is the distance between the points $P_{1} = (x_{1}, y_{1}) = (- 4, - 3) and P_{2} = (x_{2}, y_{2}) = (6, 2)$ . Using the distance formula with $x_{1} = - 4, y_{1} = - 3, x_{2} = 6, and y_{2} = 2$ , the length d is

$d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{2})}^{2}} d = \sqrt{{(6 - (- 4))}^{2} + {(2 - (- 3))}^{2}} d = \sqrt{{(10)}^{2} + {(5)}^{2}} d = \sqrt{100 + 25} d = \sqrt{125} d = 5 \sqrt{5}$

Step 3. Conclusion.

The distance between the points is $5 \sqrt{5}$ .

Find Study Materials for

Create Study Materials

Select your language

Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Find the distance $d (P_{1}, P_{2})$ between the points $P_{1} and P_{2}$ .
$P_{1} = (- 4, - 3); P_{2} = (6, 2)$

Step by Step Solution

Step 1. Given information.

Step 2. Substitute the values in the formula.

Step 3. Conclusion.

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Select your language

Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Find the distance d (P1, P2) between the points P1 and P2.P1=(-4,-3); P2=(6,2)

Step by Step Solution

Step 1. Given information.

Step 2. Substitute the values in the formula.

Step 3. Conclusion.

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Probability and Statistics

Statistics

Mechanics Maths

Geometry

Pure Maths

Find the distance $d (P_{1}, P_{2})$ between the points $P_{1} and P_{2}$ .
$P_{1} = (- 4, - 3); P_{2} = (6, 2)$