What is the slope of a line that is perpendicular to #2x-5y=3#?

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Answer 1 · 2017-11-06T15:05:05

#-5/2#

The slope of the given line can be determined by writing the equation in its slope-intercept form.

#2x-5y=3#

#-5y=3-2x#

#y = -3/5 + (2x)/5#
#y=2/5x - 3/5#

The slope of the given line is #2/5#

The slope of the line perpendicular to the given line is equal to the negative reciprocal of the slope of the given line.

negative reciprocal of #n# = #(-1)/n#

negative reciprocal of #2/5 = (-1)/(2/5)#
#-1/1 div 2/5#

#= -1/1 * 5/2#

#-5/2#