The line through (-6,10) and (8,-6) also goes through the point (t,-1) for
t=

Question

The line through (-6,10) and (8,-6) also goes through the point (t,-1) for 
t=

hartnn · Answer

can you find the equation of line through those 2 given points ?

anonymous · Answer

well i know how to find the slope for (-6,10) and (8,-6) but i dont get whats with the other points

hartnn · Answer

ok, fin slope first

hartnn · Answer

then equation is just y-y1 = m (x-x1)
x1, y1 is any one of those 2 points

anonymous · Answer

it would be y=-8/7x+22/7

hartnn · Answer

t,-1 will satisfy the equation of this line since it lies on it
so, put 
x=t, y= -1 
only t is unknown

anonymous · Answer

so it would end up as Y=-8/7x-8/7t-1?

hartnn · Answer

no...plug in y=-1 
x=t 
y=-8/7x+22/7
-1 = -8/7 t +22/7

anonymous · Answer

ty

tkhunny · Answer

Alternatively, just looking for t and not finding the equation of the line.

(-6,10)
(8,-6)
(t,-1)

(10)(a) + (-6)(1-a) = 1
10a - 6 + 6a = 1
16a = 7
a = 7/16

Then:
(-6)(7/16) + (8)(1 - 7/16) = t