How do you write the standard form of a line given x intercept = 3, y intercept = 2?
1 Answer
May 27, 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=0)color(white)(2/2)|)))#
where A is a positive integer and B, C are integers.
#"express the equation in "color(blue)"slope-intercept form"#
#• y=mx+b " where m represents the slope and b, the"#
#color(white)(xxxxxxxxxxx)"y-intercept"#
#"here " b=2" and m=-2/3#
#rArry=-2/3x+2larrcolor(red)" in slope-intercept form"#
#"add " 2/3x" to both sides"#
#2/3x+y=cancel(-2/3x)cancel(+2/3x)+2#
#rArr2/3x+y=2#
#"subtract 2 from both sides"#
#2/3x+y-2=0#
#"multiply ALL terms by 3"#
#rArr2x+3y-6=0larrcolor(red)" in standard form"#
