What is an equation of the line that is parallel to the one shown and passes through (6, −5)?

A. y=−23x−1
B. y=32x−4
C. y=23x+1
D. y=−32x+4

What Is An Equation Of The Line That Is Parallel To The One Shown And Passes Through (6, 5)? A. Y=23x1

Answers

Answer 1

Answer:

D is the answer

Answer 2

The equation in slope-intercept form, of the line that passes through (6, -5) and is parallel to the line given is: D. [tex]\mathbf{y = -\frac{3}{2} x + 4}[/tex]

Recall:

Slope of two lines that are parallel to each other will always be the same value.Slope = rise/run

From the graph shown, the slope (m) of the line is [tex]-\frac{3}{2}[/tex].

Thus, the line that passes through (6, -5) and is parallel to the line in the graph will have the same slope of [tex]-\frac{3}{2}[/tex].

Write the equation in point-slope form by substituting (a, b) = (6, -5) and m = -3/2 into y - b = m(x - a).

Thus:

[tex]y - (-5) = -\frac{3}{2} (x - 6)\\\\y +5 = -\frac{3}{2} (x - 6)[/tex]

Rewrite in point-slope form as y = mx + b

[tex]y +5 = -\frac{3}{2} (x - 6)\\\\y + 5 = -\frac{3}{2} x + 9\\\\y = -\frac{3}{2} x + 9 - 5\\\\\mathbf{y = -\frac{3}{2} x + 4}[/tex]

Therefore, the equation in slope-intercept form, of the line that passes through (6, -5) and is parallel to the line given is: D. [tex]\mathbf{y = -\frac{3}{2} x + 4}[/tex]

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Answer:

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Step-by-step explanation:

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Answer:

4x+8=20

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Step-by-step explanation:

I used substitution.

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

2. (dis) is the prefix and cover is the middle between or after/ before a suffix/prefix.

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:9

Step-by-step explanation:

I did the math

Given:

Able's age can be represented by x.

Able's sister is 4 years younger than him.

Able's older brother is twice as old as he is.

The combined age of all three siblings is 32.

To find:

The age of Able's younger sister.

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Able's sister is 4 years younger than him.

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

top right

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation: 1

2

x+yp=4

Step 1: Add (-1)/2x to both sides.

py+

1

2

x+

−1

2

x=4+

−1

2

x

py=

−1

2

x+4

Step 2: Divide both sides by y.

py

y

=

−1

2

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−x+8

2y

Answer:

p=

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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