Let A(-2, 9) and B(10, -7) be points in the plane. (a) Find the slope of the line that contains A and B. (b) Find an equation of the line that passes through A and B. What are the intercepts? x-intercept (x, y) = y-intercept (x, y) = (c) Find the midpoint of the segment AB. (x, y) = (d) Find the length of the segment AB. (e) Find an equation of the perpendicular bisector of AB. (f) Find an equation of the circle for which AB is a diameter.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter3: Graphs And Functions
Section3.3: Find The Equation Of A Line
Problem 3.61TI: Find an equation of a line perpendicular to the line y=3x+1 that contains the point (4,2) . Write...
Question

need help

Let A(-2, 9) and B(10, -7) be points in the plane.
(a) Find the slope of the line that contains A and B.
(b) Find an equation of the line that passes through A and B.
What are the intercepts?
x-intercept
(x, y)
=
y-intercept
(x, y)
=
(c) Find the midpoint of the segment AB.
(x, y) =
(d) Find the length of the segment AB.
(e) Find an equation of the perpendicular bisector of AB.
(f) Find an equation of the circle for which AB is a diameter.
Transcribed Image Text:Let A(-2, 9) and B(10, -7) be points in the plane. (a) Find the slope of the line that contains A and B. (b) Find an equation of the line that passes through A and B. What are the intercepts? x-intercept (x, y) = y-intercept (x, y) = (c) Find the midpoint of the segment AB. (x, y) = (d) Find the length of the segment AB. (e) Find an equation of the perpendicular bisector of AB. (f) Find an equation of the circle for which AB is a diameter.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning