Question

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

Answer 1

Answer:

-5

Step-by-step explanation:

$gradient=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$

              =$=\frac{-8-2 }{3-1}$

             =-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 - }$

$\green{ \underline { \boxed{ \sf{ Gradient =\frac{y_2-y_1}{x_2-x_1}}}}}$

Here,

• $\sf{x_1= 1}$
• $\sf{y_1=2}$
• $\sf{x_2=3}$
• $\sf{y_2= -8}$

Putting Values:-

$\begin{gathered}\begin{gathered}\\\implies\quad \bf Gradient =\frac{-8-2}{3-1} \\\end{gathered} \end{gathered}$

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

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

>>The gradient of the line segment is -5