Question #af9fd
1 Answer
Mar 16, 2017
Explanation:
The equation of a line in
#color(blue)"slope-intercept form"# is.
#color(red)(bar(ul(|color(white)(2/2)color(black)(y=mx+b)color(white)(2/2)|)))#
where m represents the slope and b, the y-intercept.
#"Rearrange " 2x+3y=6" into this form"# subtract 2x from both sides.
#cancel(2x)cancel(-2x)+3y=-2x+6#
#rArr3y=-2x+6# divide ALL terms on both sides by 3
#(cancel(3) y)/cancel(3)=-2/3x+2#
#rArry=-2/3x+3larr" in form " y=mx+b#
#rArr"slope "=m=-2/3" and y-intercept "=b=2#
graph{-2/3x+2 [-10, 10, -5, 5]}