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

Answer 1

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]}

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Answer 2

Eli Assouline

To find the slope and intercept of the equation 3x + 6y = -9, rearrange it to solve for y: y = (-1/2)x - 3/2. The slope is -1/2 and the y-intercept is -3/2.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.