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mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Find Coordinates of Point B

Problem 52; page 7.
Precalculus book.

Plot the points A = (-1, 8) and M = (2, 3) in the xy-plane. If M is the midpoint of a line segment AB, find the coordinates of B.

Let me try this one.

Midpoint Formula:

M = [(x_1 + x_2)/2, (y_1 + y_2)/2]

Let point B = (x_2, y_2).

2 = (x_1 + x_2)/2

2 = (-1 + x_2)/2

4 = = -1 + x_2

5 = x_2

Same process to find y_2.

3 = (y_1 + y_2)/2

3 = (8 + y_2)/2

6 = 8 + y_2

-2 = y/2

I say the coordinates of point B are (5, -2).

Yes?

Last edited by mathxyz (2024-05-21 23:29:50)

Bob

Administrator

Registered: 2010-06-20

Posts: 10,623

Re: Find Coordinates of Point B

That works for me.

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Find Coordinates of Point B

That works for me.

Bob

Cool. Change of plans.

A. We stick to one textbook at a time. Right College Algebra only Edition 9 Sullivan.

B. Math questions will be posted on my days off only (when time allows).