What is the slope and #y#-intercept of #x+3y=6#?
1 Answer
Jan 23, 2018
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]}