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2 years ago

Select all of the following points that lie on the graph of f(x) = 7 - 3x.

Mathematics

1 answer:

ira [324]2 years ago

5 0

The points that lie on the graph of f(x) = 7 - 3 x, are (-1 , 10) , (2 , 1)

and (0 , 7)

Step-by-step explanation:

To prove that a point lies on the graph of a line

Substitute the coordinates of the point in the equation of the line
If the left hand side is equal to the right hand side, then the point lies on the graph of the line

∵ The equation of the line is f(x) = 7 - 3 x

∵ f(x) = y

∴ y = 7 - 3 x

Point (-2 , 1)

∵ x = -2 and y = 1

- Substitute them in the equation

∴ 1 = 7 - 3(-2)

∴ 1 = 7 + 6

∴ 1 ≠ 13

∵ The left hand side is not equal the right hand side

∴ Point (-2 , 1) does not lie on the graph of the line

Point (-1 , 10)

∵ x = -1 and y = 10

- Substitute them in the equation

∴ 10 = 7 - 3(-1)

∴ 10 = 7 + 3

∴ 10 = 10

∵ The left hand side is equal the right hand side

∴ Point (-1 , 10) lies on the graph of the line

Point (2 , 1)

∵ x = 2 and y = 1

- Substitute them in the equation

∴ 1 = 7 - 3(2)

∴ 1 = 7 - 6

∴ 1 = 1

∵ The left hand side is equal the right hand side

∴ Point (2 , 1) lies on the graph of the line

Point (1 , 5)

∵ x = 1 and y = 5

- Substitute them in the equation

∴ 5 = 7 - 3(1)

∴ 5 = 7 - 3

∴ 5 ≠ 4

∵ The left hand side is not equal the right hand side

∴ Point (1 , 5) does not lie on the graph of the line

Point (0 , 7)

∵ x = 0 and y = 7

- Substitute them in the equation

∴ 7 = 7 - 3(0)

∴ 7 = 7 - 0

∴ 7 = 7

∵ The left hand side is equal the right hand side

∴ Point (0 , 7) lies on the graph of the line

The points that lie on the graph of f(x) = 7 - 3 x, are (-1 , 10) , (2 , 1)

and (0 , 7)

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Answer:

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Step-by-step explanation:

<em>See Attachment for Complete Question</em>

Given

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Required

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Step-by-step explanation:

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