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graph the line that passes through the points (3,-7) and (-3,1) and determine the equation of the line

User Xsc
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1 Answer

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Given: Two points (3,-7) and (-3,1).

Required: Graph the line that passes through the points (3,-7) and (-3,1) and determine the equation of the line.

Explanation:

Graph can easily be drawn, using the two given points (3,-7) and (-3,1).

Further, equation of line can be found using two point form. The line passing through two points (3,-7) and (-3,1) is


\begin{gathered} y-1=(-7-1)/(3-(-3))(x-(-3)) \\ y-1=(-8)/(6)(x+3) \end{gathered}

Solving further,


\begin{gathered} y-1=-(4)/(3)(x+3) \\ 3(y-1)=-4(x+3) \end{gathered}

So


\begin{gathered} 3y-3=-4x-12 \\ 4x+3y+9=0 \end{gathered}

Final Answer: The graph is drawn and equation of line passing through the points (3,-7) and (-3,1) is 4x+3y+9=0.

graph the line that passes through the points (3,-7) and (-3,1) and determine the-example-1
User JMRboosties
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