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What is the equation of a line parallel to the line whose equation is 2x-3y=9Y-1=2/3(x+6)Y+1=2/3(x-6)Y-6=2/3(x+1)Y+6=2/3(x-1)

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First step is to find the slope intercept form of the line


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

A parallel line to the given line is the one that has an equation with the same slope, it means 2/3. In this case, all options are correct, because all lines have the same slope.

User Peter Moresi
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