How do you find the slope of #2x-5y=0#?

1 Answer
Apr 8, 2015
  • We can find the Slope of a Line by expressing its equation in the Slope Intercept form .

  • The Slope Intercept Form of the equation of a given line is:
    #y = mx + c#
    where #m# is the Slope of that line, and #c# is the Y intercept

  • To get it in the Slope Intercept form, we first transpose #2x# to the Right hand Side
    We get #-5y = -2x #

To have just #y# on the Left Hand Side, we divide both sides by #-5#

#(cancel(-5)y)/cancel(-5) = (-2x)/-5 #

#y = (2/5)*x + 0# is the Slope Intercept form of #2x−5y=0#

  • The Slope is #color(green)(2/5# and the Y intercept is #0#