How do you find the slope and intercept of #x+y=9#?

1 Answer
Jim G.
Feb 8, 2017

#"slope "=-1" and y-intercept "=9#

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+y=9" into this form"#

subtract x from both sides of the equation.

#cancel(x)cancel(-x)+y=9-x#

#rArry=-x+9larrcolor(red)" in slope-intercept form"#

#rArr"slope "=m=-1" and y-intercept "=b=9#

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