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Find the gradient of the line segment between the points (1,2) and (3,-8)?

User Truong Ha
by
8.3k points

2 Answers

8 votes

Answer:

-5

Explanation:


gradient=(y_(2)-y_(1) )/(x_(2)-x_(1))

=
=(-8-2 )/(3-1)

=-5

Hope it helps:)

User MPelletier
by
8.6k points
11 votes

Solution:-


\textsf{The gradient 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{ Gradient =(y_2-y_1)/(x_2-x_1)}}}}

Here,


  • \sf{x_1= 1}

  • \sf{y_1=2}

  • \sf{x_2=3}

  • \sf{y_2= -8}

Putting Values:-


\begin{gathered}\begin{gathered}\\\implies\quad \bf Gradient =(-8-2)/(3-1) \\\end{gathered} \end{gathered}


\begin{gathered}\begin{gathered}\\\implies\quad \bf \frac{\cancel{-10}}{\cancel{2}} \\\end{gathered} \end{gathered}


\begin{gathered}\begin{gathered}\\\implies\quad \bf -5 \\\end{gathered} \end{gathered}

>>The gradient of the line segment is -5

User Martin Wilson
by
8.2k points

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