How do you express the following equation in slope-intercept form: #7x - 5y = 10#?

1 Answer
Apr 7, 2015
  • 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 #7x# to the Right hand Side
    We get #-5y = -7x + 10#

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

#(cancel(-5)y)/cancel(-5) = (-7x)/-5 + 10/-5#

#color(green)(y = (7/5)*x - 2# is the Slope Intercept form of #7x−5y=10#

  • The Slope is #7/5# and the Y intercept is #-2#

  • The graph will look like this:

graph{y=(7x/5)-2 [-10, 10, -5, 5]}