Question

What is the slope of a line that passes through (1, 4)and (-1, 14) ? hint: Think rise over run.

Answer 1

-5
-1/5
1/5

Answer 2

To find the slope of a line that passes through two points (x1,y1) and (x2,y2) you can use this, let's call the slope "s"
\[s= \dfrac {y_{2}-y_{1}} {x_{2} - x_{1}}\]
You can choose any point to be one, so, let's pick (1,4); x1=1 and y1=4, then x2=-1 and y2=14, replacing on the equation
\[s= \dfrac {14-4} {(-1)-1}=\dfrac {10} {-2}=-5\]