How do you write #6x-2y=9# into slope intercept form?

2 Answers
May 28, 2018

Answer:

#y = 3x - 9/2#

Explanation:

We need to isolate the #y# and write the equation in the following form:

#y=mx+q#

So, starting from #6x-2y=9#,

  • subtract #6x# from both sides: #-2y = -6x + 9#
  • divide both sides by #-2#: #y = 3x - 9/2#

And there you have it: #y = 3x - 9/2# is in slope-intercept form, with slope #m = 3# and intercept #q=9/2#

May 28, 2018

Answer:

#y=3x-9/2#

Explanation:

#"the equation of a line in "color(blue)"slope-intercept form"# is.

#•color(white)(x)y=mx+b#

#"rearrange "6x-2y=9" into this form"#

#"subtract "6x" from both sides"#

#-2y=-6x+9#

#"divide all terms by "-2#

#y=3x-9/2larrcolor(blue)"in slope-intercept form"#