Question

Sa se determine ecuația dreptei care trece prin punctele A (4,-3) B( 3,-4)

Answer 1

AB=(y+3)/(-4+3)=(x-4)/(3-4)⇔(y+3)/-1=(x-4)/-1⇔-1(y+3)=-1(x-4)⇔-y-3=-x+4⇔x-y-3-4=0⇔x-y-7=0

Answer 2

[tex]\text{Ecuatia unei drepte care trece prin doua puncte este:}\\ \boxed{\dfrac{x-x_a}{x_b-x_a}=\dfrac{y-y_a}{y_b-y_a}}\\ \dfrac{x-4}{3-4}=\dfrac{y+3}{-4+3}\\ 4-x=-y-3\\ \boxed{y-x+7=0}[/tex]