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If the slopes of the lines are negative reciprocals, then the lines are perpendicular.
2x - 5y = -3 subtract 2x to both sides
-5y = -2x - 3 divide both sides by -5
y = (2/5)x +3/5
5x + 2y = 6 subtract 5x to both sides
2y = -5x + 6 divide both sides by 2
y = (-5/2)x + 3
Yes, the lines are perpendicular.
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What is the equation of the line passing through 3 -4 and it is perpendicular to the line 5x -2y equals 3?
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