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How do you find the slope and intercept of #-3x=6y+18#?

Answer 1

Savannah Anderson

#"slope "=-1/2," y-intercept "=-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 "-3x=6y+18" into this form"#

#"subtract 18 from both sides"#

#-3x-18=6y#

#"divide all terms by 6"#

#-1/2x-3=y#

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

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

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Answer 2

Hazel Anglin

To find the slope-intercept form of the equation (-3x = 6y + 18), first, solve for (y) to isolate it on one side of the equation. Then, rewrite the equation in the form (y = mx + b), where (m) represents the slope and (b) represents the y-intercept.

Given equation: (-3x = 6y + 18)

Step 1: Solve for (y): [6y = -3x - 18] [y = -\frac{1}{2}x - 3]

Step 2: Identify the slope ((m)) and y-intercept ((b)): Slope ((m)) = (-\frac{1}{2}) Y-intercept ((b)) = (-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.