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Valentin [98]
3 years ago
14

Write an equation parallel to 5x-4y=4 that passes through the point (-8,2)

Mathematics
2 answers:
sergey [27]3 years ago
6 0

The answer would be -40-8=4, and 4=-48, 1=-12, -40x-8y=4.

Yuri [45]3 years ago
5 0

Converting to  slope intercept form:-

5x - 4y = 4

-4y = -5x + 4

y = 5/4 x - 1  so the slope of the line = 5/4

Finding the line that passes through ( -8, 2) with the same slope:-

y - 2 = 5/4(x  - -8)   (Point-slope form)  

y = 5/4x + 10 + 2

y = 5/4 x + 12 is the answer is slope intercept form

In standard form :-

4y = 5x + 48

5x - 4y = -48   is the answer is standard form


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Nataly_w [17]

The correct answer is:

B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).

Step-by-step explanation:

Given

Dilation: D : (x,y) => (4x,4y)

And Vertices

A ( 2, 1 ), B ( 4, 1 ), C ( 4, -3 )

Applying dilation on all vertices

A ( 2, 1 ) => A'(4*2, 4*1) => A'(8,4)\\B ( 4, 1 ) = > B' (4*4 ,4*1) = > B'(16,4)\\C(4,-3) => C' (4*4 , 4*-3) => C'(16, -12)

To find the scale factor,

As we are multiplying each vertex coordinate by 4, the dilation factor is 4.

Moreover,

\frac{A'}{A} = \frac{(8,4)}{(2,1)} = (4,4)

Hence the scale factor is 4.

So,

The correct answer is:

B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).

Keywords: Dilation, Scale factor

Learn more about dilation at:

  • brainly.com/question/10435836
  • brainly.com/question/10541435

#LearnwithBrainly

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