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what is the slope of the line passing throught the point (3, -4) and perpendicular to the line y=3x+5?
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The slope of y = 3x+5 is 3 or 3/1 Flip the fraction and flip the sign to get -1/3
This is the slope of any line that is perpendicular to y = 3x+5
right, so it would be 3?
no
-1/3 because 3 is the original slope, -1/3 is the perpendicular slope
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the slope is -1/3?
the slope of the perpendicular line is -1/3, yes
Plug into the formula for the equation of a line: (y+4)=(-1/3)(x-3) = y+4=(-1/3x+1) y=-1/3x-3
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