# What is the slope of the line perpendicular to # y=-2 X+3 #?

The slope of the perpendicular line is

Note that the perpendicular slope is positive, and the given slope was negative.

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To find the slope of the line perpendicular to ( y = -2x + 3 ), we first determine the slope of the given line. In the equation ( y = mx + b ), ( m ) represents the slope. So, the slope of the given line is ( -2 ).

Perpendicular lines have slopes that are negative reciprocals of each other. To find the slope of the line perpendicular to ( y = -2x + 3 ), we take the negative reciprocal of ( -2 ), which is ( \frac{1}{2} ).

Therefore, the slope of the line perpendicular to ( y = -2x + 3 ) is ( \frac{1}{2} ).

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