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What is an equation of the line that passes through the points (1, 1) and (7, -5)? Put your answer in fully reduced form.

Sagot :

he equation of the line through two points is:

[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex]

replacing the values of x and y where: x1=1, x2=7, y1=1 and y2=-5

we have

[tex]\begin{gathered} \frac{y-1}{x-1}=\frac{-5-1}{7-1} \\ \frac{y-1}{x-1}=\frac{-6}{6} \\ \frac{y-1}{x-1}=-1 \\ y-1=1-x \\ y+x-2=0 \end{gathered}[/tex]

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