How do you write #y=3/8x-3/4# in standard form?

1 Answer
Jun 28, 2015

#y=3/8x-3/4# in standard form is #3x-8y=6#.

Explanation:

Standard form for a linear equation is #Ax+By=C#.

#y=3/8x-3/4#

Simplify #3/8x# to #(3x)/8#.

Subtract #(3x)/8# from both sides of the equation.

#(-3x)/8+y=-3/4#

Multiply both sides by #-1#.

#(-3x)/8(-1)+y(-1)=-3/4(-1)# =

#(3x)/8-y=3/4#

Multiply both sides by #8#.

#((3x)*8)/8-y(8)=((3)*8)/4# =

#((3x)*cancel8^1)/(cancel 8^1)-y(8)=((3)*cancel8^2)/(cancel4^1)# =

#3x-8y=6#