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dsp73
3 years ago
9

What is the slope of the line passing through the points (1, 2) and (5, 4)?

Mathematics
2 answers:
brilliants [131]3 years ago
8 0

Answer:

slope = \frac{1}{2}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (5, 4)

m = \frac{4-2}{5-1} = \frac{2}{4} = \frac{1}{2}

Alex73 [517]3 years ago
5 0

Answer:

\frac{1}{2} , or the first option

Step-by-step explanation:

The formula to find the slope of a line is \frac{y_{2} - y_{1}}{x_{2} - x_{1}}. It doesn't matter which set of coordinates is (x₁,y₁), as long as you make sure you put them in the right places.

(x₁,y₁) = (1,2)

(x₂,y₂) = (5,4)

\frac{y_{2} - y_{1}}{x_{2} - x_{1}}   Plug in your numbers

\frac{4 - 2}{5 - 1}   Simplify

\frac{2}{4}   Simplify

\frac{1}{2}

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SSSSS [86.1K]
Put it in an improper fraction by multiply the coefficient with the denominator and add the numerator.
5/2 , 14/3
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5/2 = 15/6 , 28/6
Add those together.
15/6 + 28/6 = 43/6
Since it can't be simplified the answer is 43/6
3 0
3 years ago
How do i calculate the first quartile and the third quartile??? <br> !!!please help!!!
diamong [38]

Answer: The Median: 78, The First Quartile: 63, and The Third Quartile: 99

Step-by-step explanation: Ok, so let's put the data set from least to greatest....

(63, 63, 76,) (77, 79,) (84, 99, 99)

First Quartile              Third Quartile

First, let's find the median, since you made a little mistake...

77 + 79 = 156

156 ÷ 2 = 78

The median is 78!

Now, let's determine the first quartile and the third quartile.

For the the first quartile/third quartile it'll be the middle number, if it's even we'll do the same extra step just like we'll do for the median. In this case it's not even therefore...

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5 0
3 years ago
(y x 1) + 2 and y + 2, is it equivalent or non equivalent?
enot [183]

Given:

The two expressions are

(y\times 1)+2

y+2

To find:

Whether the given expression are equivalent or non-equivalent.

Solution:

If two expressions are looking different but they are equal after simplification, then they are called equivalent expressions.

The first expression is

(y\times 1)+2=y+2

The first expression is equal to the second expression after the simplification.

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5 0
3 years ago
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3 years ago
Transform the given function f(x) as described.
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Answer:

g(x) = -|x| + 1

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Let g(x) be the transformation function

-|x| reflects f(x) across the x-axis.  Add 1 to move the result up one unit

So, g(x) = -|x| + 1

3 0
3 years ago
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