How do you write #y = 3/4x + 1/2# in standard form?

1 Answer
Mar 3, 2017

#3x-4y=-2#

Explanation:

The equation of a line in #color(blue)"standard form"# is.

#color(red)(bar(ul(|color(white)(2/2)color(black)(Ax+By=C)color(white)(2/2)|)))#
where A is a positive integer and B, C are integers.

#y=3/4x+1/2#

#"subtract "3/4x" from both sides"#

#y-3/4x=cancel(3/4x)cancel(-3/4x)+1/2#

#rArr-3/4x+y=1/2#

#"multiply ALL terms by "-4#

#rArr3x-4y=-2larrcolor(red)" in standard form"#