What are the x and y intercepts of the linear equation: #-y=(3x+6)-12#?

Answer 1

y-int = 6
x-int = 2

#-y=(3x+6)-12#
first remove the parentheses: #-y=3x+6 -12#
combine like terms #-y=3x-6#
multiply both sides by -1 #(-1)-y=(-1)(3x-6)#
#y=-3x+6#

to find the y-intercept set x = 0

#y=-3(0)+6#
#y=6#

to find the x-intercept set y = 0

#0=-3x+6#
#-6=-3x#
#2 = x# or #x = 2#

graph{y=-3x+6 [-13.71, 14.77, -6.72, 7.52]}

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Answer 2

#x-#intercept is #(2,0)#
#y-#intercept is #(0,6)#

#-y =(3x+6)-12#

First let's restate the equation in more common form.

(i) The parentheses are serving on purpose here.

#-y =3x+6-12#
#-y=3x-6#
(ii) Multiply through by #-1#
#y = -3x+6#
Here we have the equation in slope/intercept form: #y=mx+c#
Hence the #y-#intercept is #(0,6)#
The #x-#intercept occurs where #y=0 ->#
#0 = -3x+6#
#3x=6 -> x=2#
#:. # the #x-#intercept is #(2,0)#
These intercepts can be seen on the graph of #y# below.

graph{-y =(3x+6)-12 [-16.03, 16.01, -8, 8.03]}

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Answer 3

To find the x-intercept, set y to zero and solve for x. To find the y-intercept, set x to zero and solve for y.

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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.

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.

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.

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.

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