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Answer 1 · 2017-03-08T06:23:44

#(-3, 11/4)#

The equation of L1,
#((y - (-1)))/((x - (-8))) = (((-1) - 2))/(((-8) - (-4)))#

#(y + 1)/(x +8) = (-3)/(-4)#

#(y + 1) = (3/4)(x + 8)#

#4(y + 1) = 3(x + 8)#

#4 y + 4 = 3 x +24#

#4 y = 3 x +20#

L1,===> #4 y = 3 x +20#

L2,===> #4 y = 8 - x#

L1 - L2,
#0 =4 x +12#
#4 x = -12#, #x =-3#

Replace #x = -3# into L1 or L2

#4 y = 8 - (-3)#
#4 y = 11#, # y = 11/4#

Therefore the intersection of L1 & L2 is #(-3, 11/4)#