Which of the point-slope equations below is correct for the line that passes through points (5,6) and (1,1)?
Mathematics · High School · Mon Jan 18 2021
llm
Answered on
given that:- point A (5,6)=(x1,y1) and B (1,1)=(x2,y2)
y-y1=m(x-x1)
where m=(y2-y1)/(x2-x1)
so, y-y1=[(y2-y1)/(x2-x1)](x-x1)
y-(6)=[(1-6)/(1-5)](x-5)
y-6=[-5/(-4)](x-5)
y-6=(5/4)(x-5)
4(y-6)= 5(x-5)
4y-24=5x-25
5x-4y=25-24
5x-4y=1 (equation of line)