How do you find the slope and intercept for #3x+6y=-9#?

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Answer 1 · 2017-05-07T01:52:42

Slope is #-1/2# and #y#-intercept is #-3/2#.

The slope intercept form of equation of a line is #y=mx+c#, where #m# is slope and #c# is it's intercept on #y# axis.

Hence, we should convert any equation of a line to the form #y=mx+c# i.e. solve it for #y# to get slope and #y#-intercept.

Hence, we can write the equation #3x+6y=-9# as

#6y=-3x-9#

or #y=-3/6x-9/6#

or #y=-1/2x-3/2#

Hence, slope is #-1/2# and #y#-intercept is #-3/2#.

graph{3x+6y=-9 [-5, 5, -2.5, 2.5]}