What is #y= 2x+6# written using the standard form of the equation of a line?

1 Answer
Jun 24, 2015

Standard form: #2x-y = -6#

Explanation:

"Standard form" of a linear equation is
#color(white)("XXXX")##Ax+By=C#
#color(white)("XXXX")##color(white)("XXXX")#with integer constant values for #A, B, and C# and #A>=0#

#y = 2x+6# can be converted into this form
subtract #2x# from both sides
#color(white)("XXXX")##-2x+y = 6#
multiply both sides by #(-1)#
#color(white)("XXXX")##2x-y = -6#

(technically you might want to write this as #2x - 1y = -6# but the default #1# is commonly omitted).