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

1 Answer
Apr 1, 2017

Answer:

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

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 " x+2y=3" into this form"#

subtract x from both sides.

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

#rArr2y=-x+3#

divide ALL terms by 2

#(cancel(2) y)/cancel(2)=-1/2x+3/2#

#rArry=-1/2x+3/2larr" in form " y=mx+b#

#rArr"slope "=m=-1/2" and y-intercept "=b=3/2#