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For the following equations, determine if the graphs of the lines will be parallel, perpendicular or neither. y=5/3x+17 3x− 5y = −1
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Okay first things first. Let's make that second equation look like a proper equation so solve for y
subtract 3x from both sides and then divide both sides by negative 5.
\[y=\frac{ 3 }{ 5 }x +\frac{ 1 }{ 5 }\]
Well we know that parallel lines must have the same slope and that parallel lines have opposite reciprocal slopes. The slopes aren't the same and the slopes are reciprocal but not opposite. Therefore they are...
Neither.
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