Find the slope of the line passing through the pair of points.? $\mathrm { P } ( 19 , \sqrt { 2 } ) ; \mathrm { Q } ( \sqrt { 2 } , 19 )$ ?
A)m = 19
B)m = 1
C)m = 2
D)m = -1
E)none of these

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 $P(19, \sqrt{2})$ and $Q(\sqrt{2}, 19)$ into the formula gives $m = \frac{19 - \sqrt{2}}{\sqrt{2} - 19} = \frac{19 - \sqrt{2}}{\sqrt{2} - 19} \cdot \frac{-1}{-1} = \frac{\sqrt{2} - 19}{19 - \sqrt{2}} = -1$.

Find the Slope of the Line Passing Through the Pair P(19,2);Q(2,19)\mathrm { P } ( 19 , \sqrt { 2 } ) ; \mathrm { Q } ( \sqrt { 2 } , 19 )P(19,2​);Q(2​,19)

Find the Slope of the Line Passing Through the Pair $\mathrm { P } ( 19 , \sqrt { 2 } ) ; \mathrm { Q } ( \sqrt { 2 } , 19 )$