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Elan Coil [88]
3 years ago
7

Which of the following is an equation of the line that passes through the point (2, 2) and is parallel to the graph of the equat

ion y = 3x − 1? A. y = 3x + 4 B. y = 3x − 4 C. y = 3x + 1 D. y = 3x + 2
Mathematics
2 answers:
Nat2105 [25]3 years ago
8 0

Answer:

c

Step-by-step explanation:

pickupchik [31]3 years ago
4 0

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 1 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation of the parallel line

To find c substitute (2, 2) into the partial equation

2 = 6 + c ⇒ c = 2 - 6 = - 4

y = 3x - 4 → B

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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).

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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.

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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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