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USPshnik [31]
3 years ago
11

Which expression can be simplified to find the slope of the trend line in the scatterplot?

Mathematics
2 answers:
bazaltina [42]3 years ago
8 0

Answer: 35-21/8-4

Step-by-step explanation:

Nutka1998 [239]3 years ago
3 0

Answer:  \frac{35-21}{8-4}

Step-by-step explanation:

The slope of a line equals to the difference between points' y-coordinates divided by the difference between their x-coordinates.

That is, if (x_1,y_1) and (x_2,y_2) are the point of a line,

Then the slope of the line is,

m=\frac{y_2-y_1}{x_2-x_1}

By the given diagram,

x_1=4, y_1=21, x_2=8 and y_2=35

Thus, the slope of the given line

= \frac{35-21}{8-4}

⇒ Fourth option is correct.

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Which of the following statements is TRUE about the midline of a trapezoid?
Y_Kistochka [10]

Answer:

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2 years ago
The graphs of functions f(x) and g(x) = f(x) + k are shown below:
Nataly [62]
Here's the info for f(x):  We are going to find the slope of the line and then write the equation for the line using one of the given points.  The coordinate points we are given are (0, 0) and (2, 4).  Using the slope formula:
m= \frac{y_{2} - y_{1} }{ x_{2}- x_{1}  }
gives us a slope equation of:
m= \frac{4-0}{2-0} and the slope is 2.  Using the point (0, 0) to write the equation of the line for f(x) looks like this in the slope-intercept form of the equation:
y- y_{1} =m(x- x_{1}) where m is the sloppe of 2 that we found and y_{1}  and  x_{1}  are the coordinates of one of the points.  It doesn't matter which one you choose; you will get the same answer whether you use (0, 0) or (2, 4): y-0=2(x-0)   Distributing that 2 into the parenthesis and simplifying gives you the equation of y = 2x, or in our function notation, f(x) = 2x.  Since f(x) is the first part of g(x), so far for g(x) we have that g(x) = 2x + k.  Now we will do the same thing for g(x) that we did for f(x) as far as writing its equation down; we don't need to find the slope cuz the slope of g(x) is the function f(x).  The equation for g(x), using the point (0, 2) (again, you could have used either point; I just picked (0, 2) cuz the other one has a decimal in it!): y - 2 = 2(x - 0).  Distributing that 2 into the parenthesis gives you this: y - 2 = 2x - 0; y = 2x + 2.  So 2 is your k value!

7 0
3 years ago
Read 2 more answers
Help with 39 and 40 plzzzz
hram777 [196]
195.25/(1-0.45) = 355!
7 0
3 years ago
PROBLEM 2<br> Evaluate 5x – – when x = 4 and y = 2.
krok68 [10]

Answer:

20

Step-by-step explanation:

1. substitute x for (4)

2. multiply 5(4)

3. The answer is 20

5 0
3 years ago
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