-2 B-BL and u= 6 -1 Compute the distance d from y to the line through u and the origin. Let y d= = = -8 9 -8

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Let y =
d
-8
=
9
and u=
-2
-8
-1
Compute the distance d from y to the line through u and the origin.
6
Transcribed Image Text:Let y = d -8 = 9 and u= -2 -8 -1 Compute the distance d from y to the line through u and the origin. 6
Expert Solution
Step 1: Organizing the given information:

y and u are two points.

y space equals space left parenthesis negative 8 comma space 9 comma space minus 8 right parenthesis
u space equals space left parenthesis negative 2 comma space 6 comma space minus 1 right parenthesis

d is the distance between the point y and the line passing through the point u and the origin.

Therefore,

step(1) - Find the equation of the line passing through the point u and the origin.

step(2) - Find the foot of perpendicular, if a perpendicular line is drawn from the point y on the line.

step(3) - d = Distance between the foot of perpendicular and the point y.

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