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How do you find the slope given 6x+3y=12?

Answer 1

Ethan Adkins

#-2#

For a linear equation in standard form #y=mx+c#, the slope is #m# and the y-intercept is #c#.

In this case, the standard form of #6x+3y=12# is #y=-2x+4# and hence the slope is #-2#.

graph{-2x+4 [-10, 10, -5, 5]}

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Answer 2

Jace Anderson

To find the slope given the equation 6x + 3y = 12, rearrange the equation into slope-intercept form (y = mx + b), where m represents the slope. Then, isolate the y term and divide every term by 3 to get y = -2x + 4. The slope (m) is -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.