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What is the slope of a line perpendicular to the line whose equation is 6x−4y=72

label Mathematics
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What is the slope of a line perpendicular to the line whose equation is 

6x−4y=72
Oct 21st, 2017

Your equation is 6x-4y=72


To find the slope of this line, you must write it in slope intercept form, y = mx + b. 

 6x-4y=72
-4y = -6x + 72 
y = 3/2 x - 18

Hence, the slope of your original line is 3/2

A line that is perpendicular to the above line will have a slope that is the negative reciprical of -3/2. The negative reciprical is 2/3. 

Hence, the slope of the line perpendicular to the line whose equation is 5x + 3y = 8 is 2/3.

Nov 22nd, 2014

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