anonymous
  • anonymous
Choose the equation of the vertical line passing through the point (−2, 3).
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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texaschic101
  • texaschic101
A vertical line is represented by x = a number. (-2,3)... and since x = -2...that is your vertical line
mathmale
  • mathmale
You'd probably learn a lot by graphing the point (-2,3) and then drawing a vertical line through it. Would you do that, please, @Midleyc
texaschic101
  • texaschic101
a vertical line goes up and down....x will always be -2

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More answers

anonymous
  • anonymous
@mathmale could not have stated it better.
texaschic101
  • texaschic101
true ^^ you can understand it better if you can draw it and look
mathmale
  • mathmale
|dw:1449964096694:dw|
mathmale
  • mathmale
Reminder: slope = rise over run:\[slope.m=\frac{ rise }{ run }\]
anonymous
  • anonymous
|dw:1449964006086:dw|
anonymous
  • anonymous
i try i dont know if it right
mathmale
  • mathmale
You've drawn a nice vertical line through x=3. Good. Now would you please look at my diagrams, above, and tell me what you think the slope of a vertical line is. How would you write a statement which describes the slope?
mathmale
  • mathmale
the slope of a vertical line is _____________________ .
anonymous
  • anonymous
the slope of vertical line is undefined slope because all points on the line have the same x-coordinate.
mathmale
  • mathmale
BEAUTIFUL. Since the slope of a vertical line, m, is undefined, we can't use it in the equation of a straight line such as y=mx+b. So, we have to think of another way to describe that vertical line. What comes to mind?
mathmale
  • mathmale
y=mx+b? NO. y-k=m(x-h)? NO. What's left?
mathmale
  • mathmale
Hint: In general, what formula is used to describe a vertical line?
anonymous
  • anonymous
y=mx+b
anonymous
  • anonymous
or y = mx + c
mathmale
  • mathmale
No, we've eliminated that possibility because m is not defined here. Here's another hint: The x-axis is also described by "y=0." The y=axis is also described as x=0. What is a suitable description for the vertical line through (-2,3)?
mathmale
  • mathmale
I owe you an apology for not catching a mistake earlier. You drew a vertical line several minutes ago. But your line goes through (3,0), not through (-2,3). Note that the first coordinate of (-2,3) is -2, representing x=-2. The second coordinate of (-2,3) is 3, representing y=3. So, although you've correctly drawn a vertical line, it was drawn in the wrong place along the x-axis.
mathmale
  • mathmale
Please see my hints, above. How do we describe the y axis with a simple equation? Write out that equation here.
anonymous
  • anonymous
for (-2,3)
mathmale
  • mathmale
The equation of the y-axis (the vertical axis) is x=0, because every point on that line has x-coordinate 0. The equation of the vertical line that you drew is x=3, because every point on that line has x-coordinate 3. Now, would you please write out the equation of a vertical line through x=-2?

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