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kolezko [41]
3 years ago
14

Find the slope of the line that contains the following pair of points: (4,-5) and (-1, -3).

Mathematics
1 answer:
Tamiku [17]3 years ago
3 0

Step-by-step explanation:

slope is y2-y1/x2-x1

-3-4=-7

-1-4=-5

now that you have -7/-5, or negative seven fifths, simplify.

you get -0.4, or -2/5 as your slope

Hope this helps!!

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Vertically stretched by a factor of 2, then translated<br> 4 units left and 1 unit down
drek231 [11]

A vertical stretch of scale factor 2, followed by a translation of 4 units left and 1 unit down is written as:

g(x) = 2*f(x + 4) - 1

<h3>How to write the given transformation?</h3>

For a general function f(x), a vertical stretch of scale factor K is written as:

g(x) = K*f(x).

<u><em>Horizontal translation:</em></u>

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

  • If N is positive, the shift is to the left.
  • If N is negative, the shift is to the right.

<u><em>Vertical translation:</em></u>

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

  • If N is positive, the shift is upwards.
  • If N is negative, the shift is downwards.

So, if we start with a function f(x) and we stretch it vertically with a scale factor of 2, we get:

g(x) = 2*f(x)

Then we translate it 4 units left:

g(x) = 2*f(x + 4)

Then we translate 1 unit down:

g(x) = 2*f(x + 4) - 1

This is the equation for the transformation.

If you want to learn more about transformations, you can read:

brainly.com/question/4289712

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2 years ago
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