Question

What is the slope of the line that passes through the points (5,-11) and (-9,17)

Answer 1

Given:

• Slope of the line that passes through the point

$\bullet\green{\bf{Values}} \begin{cases} \sf{(x_{1},y_{1}) =(5,-11) } \\ \sf{(x_{2},y_{2})=(-9,17) } \end{cases}$

To find:

• Slope of the line that passes through given point =?

Formula :

$\\ \red\bigstar\sf{slope(m)=\dfrac{y_{2} -y_{1}}{x_{2}-x_{1}}}$

Solution :

$\\ \implies\sf{Slope (m) =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}$

$\implies \sf \: \: slope = \frac{17 - ( - 11)}{ - 9 - 5} \\ \\ \implies \sf \: slope = \frac{17 + 11}{ - 14} \\ \\ \implies \sf \: slope = \frac{28}{ - 14} \\ \\ \implies \sf \: slope = - 2 \\ \\ \implies \boxed { \boxed{ \sf{slope(m) = - 2}}}$

•Hence slope of the lines passing through given point is m=-2