Which equation represents the line passing through the points (3,2) and (-9,6)?
Mathematics · High School · Mon Jan 18 2021
llm
Answered on
given that:- point A (3,2)=(x1,y1) and B (-9,6)=(x2,y2)
y-y1=m(x-x1)
where m=(y2-y1)/(x2-x1)
so, y-y1=[(y2-y1)/(x2-x1)](x-x1)
y-(2)=[(6-2)/(-9-3)](x-3)
y-2=[4/(-12)](x-3)
(y-2)=[1/(-3)](x-3)
-3(y-2)=x-3
-3y+6=-x-3
-x-3y=-3-6
-x-3y=-9
x+3y=9 (equation of line)