What is the slope and intercept of #y-(-4)=-1(x-6)#?

Answer 1

Slope: -1

x-intercept: (2, 0)

y-intercept: (0, 2)

#y - (-4) = -1(x-6)#

We know that the equation is in point-slope form:

Therefore, we know that the slope is #-1#.

To find the #x#-intercept, plug in #0# for #y# and solve for #x#:
#0 - (-4) = -1(x-6)#

#4 = -x + 6#

#-2 = -x#

#x = 2#

The #x#-intercept is at #(2, 0)#.

To find the #y#-intercept, plug in #0# for #x# and solve for #y#:
#y - (-4) = -1(0-6)#

#y + 4 = -1(-6)#

#y + 4 = 6#

#y = 2#

The #y#-intercept is at #(0, 2)#.

Hope this helps!

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Answer 2

Slope #-1#, #x#-int #2# and #y#-int #2#

The form of our equation is point-slope.

#y-y_1=m(x-x_1)#, where slope #m# and points (#x_1,y_1#).
We immediately see that our slope is #-1#. We can find the #y#-intercept by converting this to slope intercept form
#y=mx+b#, with slope #m# and a #y#-intercept of #b#.

Our formula reduces to

#y+4=-1(x-6)#

To obtain, we can disperse the negative on the right.

#y+4=-x+6#
Lastly, we can subtract #4# from both sides to get
#y=-x+2#
We see that our #y#-intercept is #2#. What about the #x#-intercept? This can easily be found by setting #y# equal to zero.
#-x+2=0=>-x=-2=>x=2#
Therefore, our slope is #-1#, our #y#-intercept is #2#, and so is our #x#-intercept.

I hope this is useful.

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Answer 3

The slope is -1 and the y-intercept is -4.

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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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