Write the equation of the line that contains the points (4, -7) and (1,5).
Mathematics · High School · Wed Jan 13 2021
llm
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given that:- point A (4,-7)=(x1,y1) and B (1,5)=(x2,y2)
y-y1=m(x-x1)
where m=(y2-y1)/(x2-x1)
so, y-y1=[(y2-y1)/(x2-x1)](x-x1)
y-(-7)=[(5+7)/(1-4)](x-4)
y+7=[12/(-3)](x-4)
y+7=-4(x-4)
y+7=-4x+16
4x+y=16-7
4x+y=9 (equation of line)