Question

Find the slope between the two points (5,4) and (-1,6)

Answer 1

`(\stackrel{x_1}{5}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) ~\hfill~ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{6}-\stackrel{y1}{4}}}{\underset{\textit{\large run}} {\underset{x_2}{-1}-\underset{x_1}{5}}} \implies \cfrac{ 2 }{ -6 } \implies -\cfrac{1}{3}`

Answer 2

The slope is -1/3

Explanation:

To find the slope, we use the slope formula

m = ( y2-y1)/(x2-x1)

= ( 6-4)/(-1 -5)

= 2/-6

= -1/3

The slope is -1/3