line in data is y=-2X+6
The perpendicular line will have a slope of = +1/2
Note : m X m' = -1 , m= slope of line 1 ; m'= slope of perpendicular line to line 1
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Slope of given line = -3 Therefore, slope of perpendicular = 1/3
For the line 2x + y = 8 , the slope equals ( -2 ) so the required slope of the line which is perpendicular to it is equal to (+1/2 )
The slope of the perpendicular to a line has a slope which is the negative reciprocal of the original line's slope.The negative reciprocal of x is -1/xSo in this case, where the slope is -2 the perpendicular line has the slope -1/(-2) or simply 1/2
-5/3
It is -1/2