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If two points on a line are given by (-7, -1) and (-7, 12), we would say the line equation is?

User Shawn Wang
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\large{ \tt{❃ \: SOLUTION}} :

  • Remember : To find the equation of straight line passing through given points ( x₁ , y₁ ) and ( x₂ , y₂ ) , Use
    \tt{y - y_(1) = (y_(2) - y_(1))/(x_(2) - x_(1))(x - x_(1)})

  • Let the given points ( -7 , -1 ) be ( x₁ , y₁ ) & ( -7 , 12 ) be ( x₂ , y₂ ).


\underline{ \large{\tt{❁ \: USING \: TWO - POINT \: FORM \: OF \: EQUATION \: OF \: LINE : }}}


\boxed{ \large{ \tt{❈ \: y - y_(1) = (y_(2) - y _(1))/(x_(2) - x_(1)) (x - x_(1))}}}


\large{ \tt{↦y - ( - 1) = (12 - ( - 1))/( - 7 - ( - 7)) \{x - ( - 7) \}}}


\large{ \tt{↦y + 1 = (12 + 1)/( - 7 + 7)(x + 7)} }


\large \tt \:↦ \: y + 1 = (12)/(0) (x + 7)


\large{ \tt{↦ \: y + 1 = 12(x + 7)}}


\large{ \tt{↦y + 1 = 12x + 96}}


\large{ \tt{↦ \: 12x + 96 = y + 1}}


\large{ \tt{↦ \: 12x - y + 96 - 1 = 0}}


\large{ \boxed{ \tt↦12x - y + 95 = 0}}

  • Hence , 12x - y + 95 = 0 is the required equation of the line.

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User Stefaan
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