How do you write the equation y=2/3x+1 in standard form and identify A, B, C?
1 Answer
Sep 9, 2017
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.
"rearrange "y=2/3x+1" into this form"
"multiply through by 3 to eliminate the fraction"
rArr3y=2x+3
"subtract 3y from both sides"
cancel(3y)cancel(-3y)=2x-3y+3
rArr0=2x-3y+3
"subtract 3 from both sides"
0-3=2x-3ycancel(+3)cancel(-3)
rArr2x-3y=-3larrcolor(red)" in standard form"
rArrA=2, B=-3" and "C=-3
