Question #af9fd

1 Answer
Mar 16, 2017

Answer:

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

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]}