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What is the slope of the line that passes through the points (9, 2) and (9,27)? write your answer in simplest form.

Answer :

Solution :-

[tex]\textsf{The slope of a line passing through two}[/tex]

[tex]\sf{given \: points \:(x_1,y_1) \:and \:(x_2,y_2) \: is \:given \: by - }[/tex]

[tex]\green{ \underline { \boxed{ \sf{ Slope, =\frac{y_2-y_1}{x_2-x_1}}}}} [/tex]

Here,

  • [tex]\sf{x_1= 9}[/tex]
  • [tex]\sf{y_1=2}[/tex]
  • [tex]\sf{x_2=9}[/tex]
  • [tex]\sf{y_2= 27}[/tex]

Putting Values:-

[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf Slope =\frac{27-2}{9-9} \\\end{gathered} \end{gathered} [/tex]

[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf \frac{25}{0}\quad(not\: defined) \\\end{gathered} \end{gathered}[/tex]

>>The slope of the line that passes through the given points is not defined.

Note- We can conclude that if x-coordinate of the points through which line passes are same , then slope is always not defined .

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