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horsena [70]
3 years ago
9

SOMEONE PLEASE HELP!! i’ll give brainliest

Mathematics
2 answers:
Snezhnost [94]3 years ago
8 0

Answer:

y = 1/2 x + 3/2

Step-by-step explanation:

We need to start by finding the slope of the given line, since a line parallel to it will have the same slope. Then we need to solve for y in the given equation;

- 2 x + 4 y = 8

add 2x to both sides

4 y = 2 x + 8

divide both sides by 4 to isolate y

y = 1/2 x + 2

Then, the slope we are looking for is "1/2"

Now we write the equation of the parallel line we are trying to find, in "point slope form", using the point (-5, -1) we want to have on the line:

y = m (x - x1) + y1

replacing m with our slope 1/2, x1 with -5, and y1 with -1:

y = 1/2 (x - -5) + (-1)

y = 1/2 x + 5/2 - 1

y = 1/2 x + 3/2

lys-0071 [83]3 years ago
6 0
-2x + 4y = 8
4y = 2x + 8
y = 1/2x + 2

m = 1/2

y + 1 = 1/2(x + 5)

y = 1/2x + 3/2
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Answer:

  1. 6x +y = -6
  2. 6x -y = 8
  3. 5x +y = 13

Step-by-step explanation:

To rewrite these equations from point-slope form to standard form, you can do the following:

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Of course, any operation you do must be done <em>to both sides of the equation</em>.

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1. y -6 = -6(x +2)

  y -6 = -6x -12 . . . . . eliminate parentheses

  6x +y -6 = -12 . . . . . add 6x

  6x +y = -6 . . . . . . . . add 6

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2. y +2 = 6(x -1)

  y +2 = 6x -6

  -6x +y +2 = -6

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  6x -y = 8 . . . . . . . . multiply by -1

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3. y -3 = -5(x -2)

  y -3 = -5x +10

  5x +y -3 = 10

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<em>Additional comment</em>

The "standard form" of a linear equation is ax+by=c for integers a, b, c. The leading coefficient (generally, 'a') should be positive, and all coefficients should be mutually prime (have no common factors). That is why we multiply by -1 in problem 2.

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