Find a Point for x=5: Help Appreciated | Direction Vector = (0,1)

  • Context: High School 
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Discussion Overview

The discussion revolves around finding a point on the line defined by the equation x=5. Participants explore the implications of this equation and the nature of points on a vertical line in a Cartesian coordinate system.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant suggests that if x is set to 5, then y should equal 0, proposing the point (5, 0).
  • Another participant emphasizes that all points on the line are of the form (5, a), where a can be any real number, indicating that multiple valid points exist.
  • A later reply mentions a specific point from a textbook, (5, 6), expressing confusion about its origin.
  • Another participant reinforces that (5, 0) is a valid answer, along with other points like (5, 6) and (5, 323121232344), highlighting the unrestricted nature of y in the equation.

Areas of Agreement / Disagreement

Participants generally agree that multiple points can be derived from the equation x=5, but there is some confusion regarding the selection of specific points.

Contextual Notes

Participants express uncertainty about the implications of the equation for the y-coordinate and the selection of specific points, indicating a need for clarification on the nature of vertical lines.

thomasrules
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for each of the following, find a point on each line:

x=5

:D LOl ok this is what i thought

x+0y-5=0

so direction vector=(0,1)

If I set x to 5 then y should = 0 shouldn't it?
 
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thomasrules said:
for each of the following, find a point on each line:

x=5

:D LOl ok this is what i thought

x+0y-5=0

so direction vector=(0,1)

If I set x to 5 then y should = 0 shouldn't it?

First think about what would happen if you didn't set x equal to 5, say you set x equal to 6 what happens?

You don't set x equal to 5, x is 5 period end of story, that is what you're given all points on that line are of the form (5,a) where a is any real number. You just need one point, I think you can figure it out from here.
 
yea I just saw at the back of the book it said (5,6) and I had no idea where that came from
 
READ the problem! It said "find a point on each line". How many points are there on a line? Since the equation is x= 5, obviously the first coordinate must be 5. What about the second coordinate? What does that equation tell you about y? How does that equation restrict y?

Your answer, (5, 0), is a perfectly good answer. So is (5, 6). So is
(5, 323121232344).
 

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