Question

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

Answer 1

Solution :-

`\textsf{The slope of a line passing through two}`

`\sf{given \: points \:(x_1,y_1) \:and \:(x_2,y_2) \: is \:given \: by - }`

`\green{ \underline { \boxed{ \sf{ Slope, =(y_2-y_1)/(x_2-x_1)}}}}`

Here,

• 
  `\sf{x_1= 9}`
• 
  `\sf{y_1=2}`
• 
  `\sf{x_2=9}`
• 
  `\sf{y_2= 27}`

Putting Values:-

`\begin{gathered}\begin{gathered}\\\implies\quad \bf Slope =(27-2)/(9-9) \\\end{gathered} \end{gathered}`

>>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 .