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How do you find the slope of 9x-6y+18=0?

Answer 1

Avery Alexander

#3/2#

#6y=9x+18# put #y# terms on one side #y=3/2x+3# divide by 6 to obtain slope-intercept form #m=3/2#

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Answer 2

Eli Assouline

To find the slope of the equation 9x - 6y + 18 = 0, rearrange the equation into slope-intercept form (y = mx + b), where m represents the slope:

Subtract 9x from both sides to isolate the y term: -6y = -9x - 18
Divide both sides by -6 to solve for y: y = (9/6)x + 3
Now, the equation is in slope-intercept form, where the coefficient of x is the slope.

So, the slope of the equation 9x - 6y + 18 = 0 is 9/6, which simplifies to 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.