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Write an equation of the line passing through the given points(1,3) and (-1,-9)

User Efaj
by
8.0k points

1 Answer

3 votes

The Solution:

Given:


(1,3)\text{ and }(-1,-9)

Required:

To find the equation of a line passing through the given points.

By the formula for the equation of a line:


\begin{gathered} (y-y_1)/(x-x_1)=(y_2-y_1)/(x_2-x_1) \\ \\ \text{ In this case,} \\ x_1=1 \\ y_1=3 \\ x_2=-1 \\ y_2=-9 \end{gathered}

Substitute these values in the formula.


\begin{gathered} (y-3)/(x-1)=(-9-3)/(-1-1) \\ \\ (y-3)/(x-1)=(-12)/(-2) \\ \\ (y-3)/(x-1)=6 \end{gathered}

Cross multiply to get:


\begin{gathered} y-3=6(x-1) \\ \\ y-3=6x-6 \\ y-6x-3+6=0 \\ y-6x+3=0 \end{gathered}

Therefore, the correct answer is:


\begin{gathered} y-6x+3=0 \\ \text{ Which is the same equation as:} \\ y=6x-3 \end{gathered}

User Mahmoud Farahat
by
8.7k points

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