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kondaur [170]
3 years ago
10

what is the point-slope form of the equation for the line with a slope of -2 that passes through the point (4,-6)​

Mathematics
2 answers:
aleksklad [387]3 years ago
4 0

Answer: y+6=-2(x-4)

Step-by-step explanation:

Point slope form: Y-y1=m(x-x1)

Makovka662 [10]3 years ago
3 0

Answer:

y+6=-2(x-4)

Step-by-step explanation:

Point-slope form of a line is y-y_1=m(x-x_1) where the slope is m and (x_1,y_1) is a point on the line.

We know both of those things so we have enough information without doing any math to do this problem.  You just got to plug in.

So replace m with -2, x_1 with 4, and y_1 with -6.

Like so:

y-(-6)=-2(x-4).

You can simplify a little:

y+6=-2(x-4).

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Consider the vectors a =3i +j −k, b =i +j +4k, c=i +3j +k, d =−i −3j +k, g =−3i −j +k. Which pairs (if any) of these vectors are
11111nata11111 [884]

Answer:

a and b are perpendicular to each other, as are b and d, b and g

Step-by-step explanation:

To check whether two vectors are perpendicular to each other, we need the angle between these vectors to be 90 degrees.

We can find the angle between to vectors a and b from the following relation:

The cosine of the angle \theta between two vectors is equal to the dot product of this vectors divided by the product of vector magnitude.

So

cos(\theta) = \frac{a.b}{|a||b|}

cos(90) = 0, so when the dot product between vectors a and b is 0, it means that these vectors are perpendicular to each other.

Now, for your exercise, let's compute the dot product between these vectors.

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a.b = (3,1,-1).(1,1,4) = 3+1-4 = 0

So a and b are perpendicular to each other.

------------

a.c = (3,1,-1).(1,3,1) = 3+3-1 = 5

a and c are not perpendicular to each other.

--------------

a.d = (3,1,-1).(-1,-3,1) = -3-3-1 = -7

So not perpendicular

---------------

a.g = (3,1,-1).(-3,-1,1) = -9-1-1 = -11

Not

-----------------

b.c = (1,1,4).(1,3,1) = 1+3+4 = 8

Not

------------------

b.d = (1,1,4).(-1,-3,1) = -1 -3 +4 = 0

b.d = 0, so b and d are perpendicular to each other

--------------------

b.g = (1,1,4).(-3,-1,1) = -3-1+4 = 0

b.g = 0, perpendicular

---------------------

c.d = (1,3,1).(-1,-3,1) = -1-9+1 = -9

No

-----------------------

c.g = (1,3,1).(-3,-1,1) = -3-3+1 = -5

No

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d.g = (-1,-3,1).(-3,-1,1) = 3+3+1 = 7

No

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Step-by-step explanation:

To solve this, we must divide: 513/27= 19

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<span>=$200 (1 + 0.05)9 (power of) </span>
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