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

1 Answer
Aug 13, 2016

slope = - 3
y-intercept = -2

Explanation:

The equation of a line in #color(blue)"slope-intercept form" # is

#color(red)(|bar(ul(color(white)(a/a)color(black)(y=mx+b)color(white)(a/a)|)))#
where m represents the slope and b, the y-intercept.

The advantage to this form is that m and b may be extracted 'easily'

Rearrange 3x + y = - 2 , into this form.

subtract 3x from both sides.

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

now the slope = - 3 and y-intercept = - 2
graph{-3x-2 [-10, 10, -5, 5]}