Respuesta :

Let [tex]f(x) = ax+b[/tex] be the line that passes through both points.

We know that [tex]f(5) = 1[/tex] and [tex]f(8) = -2[/tex]. So:

[tex]\begin{cases}5a+b = 1 \\ 8a+b = -2\end{cases}[/tex]

Solving the system, we get that a= -1 and b = 6.

So the line is equal to [tex]f(x) = 6-x[/tex].

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