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

1 Answer
Apr 4, 2018

Slope = -1
y-intercept = -2

Explanation:

To find the slope and intercept of an equation you have to put it in Slope-Intercept Form, which looks like: #y=mx+b# with #m# being your slope and #b# being your y-intercept.

To get your equation into Slope-Intercept Form, you must first subtract the #x# so that the #y# is alone on its side of the equal side. Your equation now will look like this:

#y=-x-2#

Your equation is now in Slope-Intercept Form. This means that your #m# value (your slope) is in front of the #x# and your #b# value (your y-intercept) is behind it. This makes your #b# value #-2#, but there's no number for #m#. The equation above is actually the simplified version of the equation #y=(-1)x-2#. Whenever you see a #-# sign, imagine an invisible #1# along with it. So your #m# value is actually a #-1#.

To summarize:

Slope = #-1#
y-intercept = #-2#