Question 82873
First lets find the slope of the line going through (-2,6) and (0,10)


*[invoke slope -2, 6, 0, 10]


Remember, perpendicular slopes are always the negative reciprocal of each other. In other words we have


{{{m[p]=-1/m}}} where {{{m[p]}}} is the perpendicular slope


so plug in the slope we solved for to find the perpendicular slope:


{{{m[p]=-1/2}}} Plug in m=2


So the perpendicular slope is {{{-1/2}}}