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1. Which of these equations represents a line passing through (5.3) and (-5, -3)?

User Brary
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1 Answer

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23 votes

Answer:

The equation of the line is 5y-3x=0.

Step-by-step explanation:

We are given two points: (x1,y1)=(5, 3) and (x2,y2)=(-5, -3)

Thus, we use the two-point form below to find the equation of the line.


(y-y_1)/(x-x_1)=(y_2-y_1)/(x_2-x_1)

Substituting the points gives:


\begin{gathered} (y-3)/(x-5)=(-3-3)/(-5-5) \\ (y-3)/(x-5)=(-6)/(-10) \\ (y-3)/(x-5)=(3)/(5) \end{gathered}

Next, simplify:


\begin{gathered} 5(y-3)=3(x-5) \\ 5y-15=3x-15 \\ 5y-3x=-15+15 \\ 5y-3x=0 \end{gathered}

The equation of the line is 5y-3x=0.

User Sam Morgan
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