Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q. 56

Expert-verified

Precalculus Enhanced with Graphing Utilities

Found in: Page 15

Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

Find the midpoint of the line segment joining the points P₁ and P₂ .
$P_{1} = (- 2, 0); P_{2} = (2, 4)$

The midpoint of line segment is $(0, 2)$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

Find the midpoint of the line segment joining the points P₁ and P₂ .

$P_{1} = (- 2, 0); P_{2} = (2, 4)$

Step 2. Midpoint Formula.

The midpoint $M = (x, y)$ of the line segment from $P_{1} = (x_{1}, y_{1}) to P_{2} = (x_{2}, y_{2})$ is

$M = (x, y) = (\frac{x_{1} + x_{2}}{2}, \frac{y_{2} + y_{1}}{2})$

Step 3. Apply the midpoint formula.

The coordinates (x, y) of the midpoint M are

$x = \frac{x_{1} + x_{2}}{2} = \frac{- 2 + 2}{2} = 0 and y = \frac{y_{1} + y_{2}}{2} = \frac{0 + 4}{2} = 2$

So, Midpoint $M = (x, y) = (0, 2)$

Step 4. Conclusion.

The midpoint of the line segment is $(0, 2)$ .

Most popular questions for Math Textbooks

Solve the equation $2 x + 3 = 4 (x - 1) + 1$

If three distinct points P, Q, and R all lie on a line and if $d (P, Q) = d (Q, R)$ , then Q is called the _________ of the line segment from P to R.

Find the distance $d (P_{1}, P_{2})$ between the points $P_{1} and P_{2}$ .

$P_{1} = (a, a); P_{2} = (0, 0)$

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.

$(- 1, 2); (- 1, - 2)$

Graph the line containing the point P and having slope m.

$P (2, - 4), m = 0$

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free