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Flura [38]
2 years ago
10

A line has this equation:y=1/4x-1. what’s a perpendicular line that goes through (3,-8)

Mathematics
1 answer:
Lera25 [3.4K]2 years ago
6 0

Answer:

y = -4x + 4

Step-by-step explanation:

y = (1/4)x - 1

m = (1/4)

Slope of the line perpendicular to this line = -1/m = -1 ÷ (1/4)

                                                                      = (-1)*\frac{4}{1}\\\\=-4

(3 , -8)

y - y1 =m(x -x1)

y -[-8] = -4(x - 3)

y + 8 = -4x + 12

    y = -4x + 12 - 8

    y = -4x + 4

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Answer:

The sequence is as following:

1. Reflection 180°

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Step-by-step explanation:

The question is as following:

Describe the sequence of transformations from Quadrilateral WXYZ to W”X”Y”Z”.

The picture is a coordinate plane with

W= (-8,8)

X= (-2,8)

Y= (-2,4)

Z= (-8,4)

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X”= (8,-10)

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Z”= (2,-6)

=================================

See the attached figure

The sequence is:

Reflection 180° ⇒ Reflection over the line x=5 ⇒ translation 2 units down.

Rule of reflection 180° is (x, y) → (–x, –y)

Rule of reflection over the line x=5 is (x, y) → (–x+10 , y)

Rule of translation 2 units down is (x, y) → (x , y–2)

The way of thinking:

1. The rectangle at the second quadrant, we need make it at the fourth quadrant, so, the suitable is <u>Reflection 180°</u>

2. After reflection 180°, it is noticed that we need reverse the vertices so we need to make a reflection over its vertical axis which is at <u>x = 5</u>

3. We need to translate it 2 units down to overlap with the required coordinates.

<u>Check the points:</u>

W(-8,8) ⇒ (8,-8) ⇒ (2,-8) ⇒ (2,-10)⇒W"

X(-2,8) ⇒ (2,-8) ⇒ (8,-8) ⇒ (8,-10)⇒X"

Y(-2,4) ⇒ (2,-4) ⇒ (8,-4) ⇒ (8,-6)⇒Y"

Z(-8,4) ⇒ (8,-4) ⇒ (2,-4) ⇒ (2,-6)⇒Z"

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Answer:

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Step-by-step explanation:

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