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ivann1987 [24]
3 years ago
5

A line intersects the points (3,-4) and (1,2) what is the slope intercept equation for this line

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
5 0

Answer:

y = - 3x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, - 4) and (x₂, y₂ ) = (1, 2)

m = \frac{2+4}{1-3} = \frac{6}{-2} = - 3, thus

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 2), then

2 = - 3 + c ⇒ c = 2 + 3 = 5

y = - 3x + 5 ← equation of line

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3 years ago
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Is there a even number and a odd number than mutiplys a odd number if so list 3 examples
s344n2d4d5 [400]

Answer:

Even

Step-by-step explanation:

Well if you have an odd number like 3, 5, 7, 9, and etc multiplied by an even number like 2, 4, 6, 8, and etc you will always get an even number

2 x 3 = 6 which is even 3+3

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7 x 6 = 42 which is even 21+21

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3 years ago
Which pair of expressions is equivalent using the Associative Property of Multiplication? (3 points) 5(3a ⋅ 4) = 15a ⋅ 20 5(3a ⋅
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Answer:

5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4

Step-by-step explanation:

The Associative Property is applied to two types of operations: addition and multiplication. This property indicates that, when there are three or more terms in these operations, the result does not depend on the way in which the terms are grouped.

In this sense, the associative property for the sum is mathematically given by:

(x+y)+z=x+(y+z)

and for the multiplication by:

(xy)z=x(yz)

Now, let:

x=5\\y=3a\\z=4

Using the Associative Property of Multiplication:

(xy)z=x(yz)\\\\Replacing\hspace{3}the\hspace{3}values\\\\(5\cdot 3a)\cdot4=5(3a\cdot 4)

Therefore the equivalent expressions are:

5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4

8 0
3 years ago
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vagabundo [1.1K]

Answer:

The correct option is d) convenience sample

Step-by-step explanation:

In statistics, we use different sampling techniques to gather a chunk of sample data from a very large population.

There are many sampling techniques and out of them one is convenience sampling.

Convenience Sampling:

The convenience sampling is defined as the sample data which is readily and conveniently available.

Examples:

1. Asking people questions at a place that is convenient for you.

2. Asking your friends or family members

3. A college student asking for student's opinion at the college who is surveying for his thesis.

In the given scenario, Kristen Ashford has list of 5,000 subscribers for Wind Surfing magazine. She chooses the first 100 of the 5,000 names, this is clearly a convenient sample since the sample is easily, readily and conveniently available.

If she had selected 100 names randomly then it would have been called random sampling but in this case, she simply selected the first 100 names for the sake of convenience therefore, it is a convenience sample.

7 0
3 years ago
Is ( y x 1 ) +2 and y + 2 equivalent
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Answer:

Yes. They are equivalent.

Step-by-step explanation:

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