How do you write an equation of a line that goes through A(6, -1) and B (-3, 7)?
1 Answer
Mar 20, 2018
Given_
#A(6,-1);B(-3,7)#
#x_1=6#
#y_1=-1#
#x_2=-3#
#y_2=7#
#y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)#
#y-(-1)=(7-(-1))/(-3-6)(x-6)#
#y+1=(7+1)/(-3-6)(x-6)#
#y+1=8/(-9)(x-6)#
#y+1=x. 8/(-9)-(8/(-9).6)#
#y+1=-8/9 x-(48/(-9))=-8/9 x-(16/(-3))#
#y+1=-8/9 x+16/3#
#y=-8/9 x+16/3-1#
#y=-8/9 x+(16-3)/3=-8/9 x+13/3#
#y=-8/9 x+13/3#