Ans:8x-3y=27
Step-by-step explanation:
let,A,B be the line which have points (3,-1),(6,7)
here,
(3,-1)=(x1,y1)
(6,7)=(x2,y2)
then,
slope of line AB =(y2-y1/x2-x1)
=(7+1/6-3)
=8/3
Now,
equation of the line AB,
(y-y1)=m(x-x1)
(y+1)=8/3(x-3)
3y+3=8x-24
-8x+3y=-24-3
-8x+3y=-27
-(8x-3y=27)
8x-3y=27
Hence, the equation of the line through the points (3,-1) ,(6,7) is 8x-3y=27.
