Determine the slope of the line passing through the given points.
-$( 3 \sqrt { 11 } , 6 \sqrt { 6 } )$ and $( \sqrt { 11 } , \sqrt { 6 } )$
A) $m = - \frac { 5 \sqrt { 66 } } { 22 }$
B) $m = \frac { 5 \sqrt { 66 } } { 22 }$
C) $m = 2$
D) $m = - 2$

Question

Quizplus · Accepted Answer

The slope $m$ of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $m = \frac{y_2 - y_1}{x_2 - x_1}$. Substituting the given points, $m = \frac{\sqrt{6} - 6\sqrt{6}}{\sqrt{11} - 3\sqrt{11}} = \frac{-5\sqrt{6}}{-2\sqrt{11}} = \frac{5\sqrt{66}}{22}$.

Determine the Slope of the Line Passing Through the Given (311,66)( 3 \sqrt { 11 } , 6 \sqrt { 6 } )(311​,66​)

Determine the Slope of the Line Passing Through the Given $( 3 \sqrt { 11 } , 6 \sqrt { 6 } )$