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Which of the following liner equations passes through points (-1,5) and (1,5)?

1 Answer

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\begin{gathered} \text{The equation of a line that passes through two(2) points is given as:} \\ (y_2-y_1)/(x_2-x_1)=(y-y_1)/(x-x_1) \end{gathered}
\begin{gathered} \text{From the given coordinates (-1,5) and (1,5)} \\ x_1=-1,y_1=5 \\ x_2=1,y_2=5 \end{gathered}
\begin{gathered} \text{Thus,} \\ (5-5)/(1-(-1))=(y-5)/(x-(-1)) \\ (0)/(2)=(y-5)/(x+1) \\ 0=(y-5)/(x+1)_{} \\ y-5=0 \\ y=5 \end{gathered}

Hence, the correct option is Option D. None of the choices are correct.

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