How do you find the slope and intercept of #-2x+3y=21#?

1 Answer
Apr 8, 2018

Answer:

#"slope "=2/3," y-intercept "=7#

Explanation:

#"the equation of a line in "color(blue)"slope-intercept form"# is.

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#"rearrange "-2x+3y=21" into this form"#

#"add 2x to both sides"#

#cancel(-2x)cancel(+2x)+3y=2x+21#

#rArr3y=2x+21#

#"divide all terms by 3"#

#rArry=2/3x+7larrcolor(blue)"in slope-intercept form"#

#"with slope m "=2/3" and y-intercept "=7#