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Archy [21]
3 years ago
7

What is the slope of a line PARALLEL to the graph?

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0
If you mean parallel to another line, you have to find the the equation of that line. Lets just say it was y= 7x-2. To find the slope of a line parallel to that, then you look at the slope of that line, which in this case would be 7. The slope of a line parallel would have to be the same. So, I can't give you a direct answer because I can't see the graph but that is how you get the answer.
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2x -2y < 8 is an example of Linear inequality. True or False
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Answer:

True

Step-by-step explanation:

4 0
3 years ago
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Match the information on the left with the appropriate equation on the right.
zaharov [31]

Answer:

See attachment below

Step-by-step explanation:

For the first option, we are given m = - 2 / 3, b = 3. This is likely in the point - slope form y = mx + b, where m = slope and b = y - intercept. Thus, the equation of the line in point - slope form given this information, should be y = - 2 / 3x + 3. It seems as if none of the following equations match this form, so let us interchange the equation a bit,

y = - 2 / 3x + 3,

y + 2 / 3x = 3,

2x + 3y = 9 - Option C

_______________________________________________________

Next we are given m = - 3 / 2, and that this line passes through the point ( 4, - 1 ). Substitute m as - 3 / 2, x as 4, y as - 1, knowing point ( 4, - 1 ), into the form y = mx + b - solving for b.

- 1 = ( - 3 / 2 )( 4 ) + b,

b = 5,

Thus the equation in point - slope form should be y = - 3 / 2x + 5. None of the choices match this, so let us again alter the equation,

y = - 3 / 2x + 5,

2y = - 3x + 10,

- 2y = 3x - 10 - Option A

_______________________________________________________

( 6, 3 ) and ( 3, 1 ) is given to lie on this line. The slope of the line should be as follows,

Slope = 3 - 1 / 6 - 3 = 2 / 3

Now let us determine the y - intercept ( b ) by substitute one of the points, say ( 6, 3 ). In this case x = 6, and y = 3,

3 = ( 2 / 3 )( 6 ) + b,

b = - 1,

y = 2 / 3x - 1 = Option D

Take a look at the attachment below for further help;

6 0
3 years ago
What are integers?<br> Please give your best explanation and a simple example (worth 20 points)
tino4ka555 [31]
<h3><u>Explanation</u></h3>
  • What is Integer?

Integer is a subset of Real Number. It can be broken into these following:

  1. Positive Integer
  2. Zero
  3. Negative Integer

Integer can be any whole numbers. Keep in mind that Integers cannot be fractions, decimal, approximate value, etc. Integers can only be something like 1,2,3,-1,-2,0.

<u>Integers</u><u> </u><u>are</u><u> </u><u>like</u><u> </u><u>Natural</u><u> </u><u>or</u><u> </u><u>Counting</u><u> </u><u>Numbers</u><u> </u><u>except</u><u> </u><u>they</u><u> </u><u>have</u><u> </u><u>0</u><u> </u><u>and</u><u> </u><u>negative</u><u> </u><u>numbers</u><u>.</u>

  • Positive Integer

Positive Integers are basically a natural or counting number. It starts from 1 to any positive countable infinity. Here is the example of positive integer: 1,2,3,4,5,6,7,...

  • Zero

Zero is just a number 0. It is between the negative and positive. 0 is neither positive or negative but it is categorized as Zero.

  • Negative Integers

Negative Integers are opposite of Positive Integers. The opposite of plus is minus and the opposite of minus is plus. Negative Integers are less than both 0 and Positive Integers. Here is the example: -1,-2,-3,-4,-5,...

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Help please!! Show work if possible!
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Answer:

Please see the attached pictures for full solution.

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