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How do you find the slope and intercept of #2-6y=3x#?

Answer 1

Julia Adams

#"slope "=-1/2," y-intercept "=1/3#

#"the equation of a line in "color(blue)"slope-intercept form"# is.

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#"rearrange "2-6y=3x" into this form"#

#"subtract 2 from both sides"#

#rArr-6y=3x-2#

#"divide all terms by "-6#

#rArry=-1/2x+1/3larrcolor(blue)"in slope-intercept form"#

#"with slope "=-1/2" and y-intercept "=1/3#

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Answer 2

Eva Abramson

To find the slope-intercept form of the equation 2 - 6y = 3x, rearrange it to solve for y:

First, subtract 2 from both sides: -6y = 3x - 2.

Then, divide both sides by -6 to isolate y: y = (-3/2)x + 1/3.

Now, the equation is in the form y = mx + b, where m is the slope and b is the y-intercept.

So, the slope (m) is -3/2 and the y-intercept (b) 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.