How do you find the slope of the line described by -2x - 6y = 12?

Answer 1

the slope is #-1/3#

there are two ways, solve for y or graph Add 2x to both sides #-6y=2x+12# next divide by -6 #y=2/6 x- 2# -2/6 reduces to #-1/3#

graph{-2x-6y=12 [-10, 10, -5, 5]}

down one over three down one over three to get from the x-intercept to the y-intercept. 1/3 and since it's a negative slope, #-1/3#

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Answer 2

Avery Alexander

To find the slope of the line described by the equation -2x - 6y = 12, rearrange the equation into slope-intercept form (y = mx + b), where m is the slope. First, isolate y: -6y = 2x + 12. Then divide both sides by -6: y = -(1/3)x - 2. Therefore, the slope of the line is -1/3.

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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.