Ответ: y=2x-5.
Объяснение:
[tex]y=kx+b\ \ \ \ A(2;-1)\ \ \ \ B(1;-3)\\[/tex]
[tex]\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }[/tex]
x₁=2 x₂=1 y₁=-1 y₂=-3 ⇒
[tex]\displaystyle\\\frac{x-2}{1-2} =\frac{y-(-1)}{-3-(-1) *(-2)}\\\\\frac{x-2}{-1} =\frac{y+1}{-2}\ |*(-2) \\\\(x-2)*2-=y+1\\\\2x-4=y+1\\\\y=2x-5.[/tex]
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Ответ: y=2x-5.
Объяснение:
[tex]y=kx+b\ \ \ \ A(2;-1)\ \ \ \ B(1;-3)\\[/tex]
[tex]\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }[/tex]
x₁=2 x₂=1 y₁=-1 y₂=-3 ⇒
[tex]\displaystyle\\\frac{x-2}{1-2} =\frac{y-(-1)}{-3-(-1) *(-2)}\\\\\frac{x-2}{-1} =\frac{y+1}{-2}\ |*(-2) \\\\(x-2)*2-=y+1\\\\2x-4=y+1\\\\y=2x-5.[/tex]