What is the slope and #y#-intercept of #x+3y=6#?

1 Answer
Jim G.
Jan 23, 2018

#"slope "=-1/3" y-intercept "=2#

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 "x+3y=6" into this form"#

#"subtract x from both sides"#

#cancel(x)cancel(-x)+3y=6-x#

#rArr3y=-x+6#

#"divide all terms by 3"#

#rArry=-1/3x+2larrcolor(blue)"in slope-intercept form"#

#rArr"slope "=-1/3" and y-intercept "=2#
graph{-1/3x+2 [-10, 10, -5, 5]}

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