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nevsk [136]
3 years ago
6

Write the standard form of the line with the given information. Include your work in your final answer. Type your answer in the

box provided or use the upload option to submit your solution. The line containing a slope of 3 and a y-intercept of -2.
Mathematics
2 answers:
zavuch27 [327]3 years ago
7 0

Answer: 3x-y=2


Step-by-step explanation:

1. By definition, the standard form of the line is the following:

Ax+By=C

Where A is a positive integer and B and C are integers.

2. You have the following information given in the problem above:

- The slope of the line is 3 (which is the coefficient of x)

- The y-intercept is -2.

3. Based of this, you have:

y=3x-2\\3x-y=2

4. The answer is: 3x-y=2


AURORKA [14]3 years ago
3 0

Answer:

The standard form of line is

-3x+y=-2

Step-by-step explanation:

we are given a line

slope=3

so,

m=3

y-intercept of -2

so,

b=-2

now, we can use slope-intercept form of line

y=mx+b

now, we can plug values

y=3x-2

we can write it in standard form of line

ax+by=c

y=3x-2

we can subtract both sides by 3x

y-3x=3x-2-3x

y-3x=-2

-3x+y=-2

So, the standard form of line is

-3x+y=-2


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Answer:

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A perfect die is perfectly cubic in shape with one of the integers 1,2,3,4, 5 or 6 in each of it's 6 faces and the digits on any two faces are different.

Now, two dice are rolled and P(n) models the probability of the event that the sum on the faces of the two dice is n.

Hence, the domain of P is given by,

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Answer:

Step-by-step explanation:

To find the diagonal, use Pythagorean theorem,

diagonal² = side² + side²

                = (9√3)² + (9√3)²

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Identify the two tables which represent quadratic relationships
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Answer:

Option (4) and Option (5)

Step-by-step explanation:

By calculating the second difference, if the second difference in a table is equal, table will represent the quadratic relationship.

In the given option, we analyze that table given in Option (4) will represent the quadratic relationship.

x             y             Ist difference (y_2-y_1)         IInd difference

0            4                      -                                             -

1            -4             -4 - (4) = -8                                     -    

2           -4             -4 - (-4) = 0                              0 - (-8) = 8

3            4              4 - (-4) = 8                                  8 - 0 = 8

Second difference of the terms in y are the same as 8.

Therefore, table of Option (4) represents the quadratic relationship.

Similarly, in Option (5) we will calculate the second difference of y terms.

x            y            Ist difference     IInd difference

0          -4                    -                            -

1           -8             -8 - (-4) = -4                 -

2          -10           -10 - (-8) = -2        -2 - (-4) = 2      

3          -10           -10 - (-10) = 0        0 - (-2) = 2

Here the second difference is same as 2.

Therefore, table of Option (5) will represent the quadratic relationship.

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