How do you write #y+2=1/6(x-4)# in slope intercept form?

1 Answer
Mar 9, 2017

#y=1/6x-8/3#

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 "y+2=1/6(x-4)" into this form"#

distribute bracket and simplify.

#y+2=1/6x-2/3#

#rArry=1/6x-2/3-2#

#rArry=1/6x-8/3larrcolor(red)" in slope-intercept form"#