Question

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

Answer 1

-5

Explanation:

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

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

=-5

Hope it helps:)

Answer 2

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