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I have the equation $x = 0$ which needs to only be graphed when the y values are between 0 and 3. This can be represented as the following equation. $$x=0y,\quad \{0<y<3\}$$ How can I do the same thing with the equation $x=-6$ where it is only graphed when the y values are between 0 and 3?

Gerry Myerson
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Riz-waan
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  • The question is unclear. Can you give more context? – Cornman Sep 11 '17 at 00:27
  • By saying $x = -6$. – fleablood Sep 11 '17 at 00:28
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    You could write $,x = 0 \cdot y -6,$ though I don't know why you'd want to do that. – dxiv Sep 11 '17 at 00:28
  • @Cornman see my updated question. – Riz-waan Sep 11 '17 at 00:30
  • draw the graph x = -6 for all y and then erase the y's that you don't want – Danilo Gregorin Afonso Sep 11 '17 at 00:33
  • Actually I like dxiv's comment. If $y = mx +b$ or $x =ny + c$ then shifting it to six units to the left is $y = m(x+6) + b$ or $x = ny + c -6$. So if $x = 0y$ (although we have utterly no idea why one would want to write that) then we could write $x = 0y - 6$. – fleablood Sep 11 '17 at 00:35
  • @dxiv Your answer was what I was looking for. – Riz-waan Sep 11 '17 at 00:35
  • @Riz-waan I don't see how writing it that way helps with what appears to be the actual question: needs to only be graphed when the y values are between 0 and 3. $x=-6$ is a vertical line, and $0 \lt y \lt 3$ is the horizontal stripe between the lines $y=0$ and $y=3$. When you intersect the two, you get the graph as a vertical segment. – dxiv Sep 11 '17 at 00:42
  • It may be worth mentioning here parametric equations. One could express your segment as $x(t)=-6,~y(t)=t$ for $t$ in the range $0<t<3$., or however you prefer to notate it. – JMoravitz Sep 11 '17 at 00:49

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