URGENT PLEASE HELP!!Which is an equation of the line that has a slope of 2 and passes through the point (3,1)?
A. y=2r +5
B. y = 2x + 1
C. y = 2x - 1
D. y = 2x - 5

Answers

Answer 1

Answer:

The equation of the line is y = 2x - 5 ⇒ D

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slopeb is the y-intercept

Note: To prove that a line passes through a given point, substitute x in the equation of the line by the x-coordinate of the point and solve to find y, if y equals the y-coordinate of the point, then the line passes through it

∵ The slope of the line is 2

∵ The line passes through the point (3, 1)

→ Find at first which equation has slope 2, then check if the line passes

  through the point or not using the note above

A.

y = 2x + 5

→ By comparing it with the form of the equation above

∴ m = 2

The line has the same slope

→ Substitute x by 3 to find y

∵ y = 2(3) + 5 = 6 + 5 = 11

∵ y-coordinate of the point = 1

The line does not pass through the point

B.

y = 2x + 1

→ By comparing it with the form of the equation above

∴ m = 2

The line has the same slope

→ Substitute x by 3 to find y

∵ y = 2(3) + 1 = 6 + 1 = 7

∵ y-coordinate of the point = 1

The line does not pass through the point

C.

y = 2x - 1

→ By comparing it with the form of the equation above

∴ m = 2

The line has the same slope

→ Substitute x by 3 to find y

∵ y = 2(3) - 1 = 6 - 1 = 5

∵ y-coordinate of the point = 1

The line does not pass through the point

D.

y = 2x - 5

→ By comparing it with the form of the equation above

∴ m = 2

The line has the same slope

→ Substitute x by 3 to find y

∵ y = 2(3) - 5 = 6 - 5 = 1

∵ y-coordinate of the point = 1

The line passes through the point

The equation of the line is y = 2x - 5


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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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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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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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9514 1404 393

Answer:

  a) 9/2 = 4.5, bushels per hour

  b) (3, 10), (6, 20), (9, 30), (12, 40)

  c) Shawn

Step-by-step explanation:

a) The line goes through the grid point (4, 18), so its slope is ...

  18/4 = 4.5 . . . . slope = "unit rate"

The units are (y-units)/(x-units) = bushels/hour.

__

b) You have correctly filled in the table.

Time-values are 3, 6, 9, 12.

Fruit values are 10, 20, 30, 40.

The unit rate for Carla is ...

  10 bu/(3 h) = 3 1/3 bushels/hour ≈ 3.33 bushels/hour

__

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Answers

Answer:

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Step-by-step explanation:

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